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Finding the Fourth Proportional to 5,371.76, 8,058.92 and 2,294

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Solution

The fourth proportional to 5,371.76, 8,058.92 and 2,294 is: 3,441.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,371.76 : 8,058.92 = 2,294 : x
  2. Step 2: Convert to fraction form
    5,371.76/8,058.92 = 2,294/x
  3. Step 3: Cross multiply
    5,371.76x = 8,058.92 × 2,294
  4. Step 4: Simplify right side
    5,371.76x = 18,487,162.48
  5. Step 5: Solve for x
    x = 18,487,162.48/5,371.76
  6. Step 6: Final answer
    x = 3,441.55

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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.