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Finding the Fourth Proportional to 3,757.86, 5,638.23 and 1,566

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Solution

The fourth proportional to 3,757.86, 5,638.23 and 1,566 is: 2,349.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,757.86 : 5,638.23 = 1,566 : x
  2. Step 2: Convert to fraction form
    3,757.86/5,638.23 = 1,566/x
  3. Step 3: Cross multiply
    3,757.86x = 5,638.23 × 1,566
  4. Step 4: Simplify right side
    3,757.86x = 8,829,468.18
  5. Step 5: Solve for x
    x = 8,829,468.18/3,757.86
  6. Step 6: Final answer
    x = 2,349.60

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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.