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Finding the Fourth Proportional to 5,818.14, 8,726.28 and 1,600.41

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Solution

The fourth proportional to 5,818.14, 8,726.28 and 1,600.41 is: 2,400.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,818.14 : 8,726.28 = 1,600.41 : x
  2. Step 2: Convert to fraction form
    5,818.14/8,726.28 = 1,600.41/x
  3. Step 3: Cross multiply
    5,818.14x = 8,726.28 × 1,600.41
  4. Step 4: Simplify right side
    5,818.14x = 13,965,625.77
  5. Step 5: Solve for x
    x = 13,965,625.77/5,818.14
  6. Step 6: Final answer
    x = 2,400.36

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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.