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Finding the Fourth Proportional to 5,824,881.54, 8,737,726.86 and 1,781,058.30

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Solution

The fourth proportional to 5,824,881.54, 8,737,726.86 and 1,781,058.30 is: 2,671,711.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,824,881.54 : 8,737,726.86 = 1,781,058.30 : x
  2. Step 2: Convert to fraction form
    5,824,881.54/8,737,726.86 = 1,781,058.30/x
  3. Step 3: Cross multiply
    5,824,881.54x = 8,737,726.86 × 1,781,058.30
  4. Step 4: Simplify right side
    5,824,881.54x = 15,562,400,947,135.94
  5. Step 5: Solve for x
    x = 15,562,400,947,135.94/5,824,881.54
  6. Step 6: Final answer
    x = 2,671,711.15

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.