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Finding the Fourth Proportional to 3,753.46, 5,627.08 and 1,563.76

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Solution

The fourth proportional to 3,753.46, 5,627.08 and 1,563.76 is: 2,344.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,753.46 : 5,627.08 = 1,563.76 : x
  2. Step 2: Convert to fraction form
    3,753.46/5,627.08 = 1,563.76/x
  3. Step 3: Cross multiply
    3,753.46x = 5,627.08 × 1,563.76
  4. Step 4: Simplify right side
    3,753.46x = 8,799,402.62
  5. Step 5: Solve for x
    x = 8,799,402.62/3,753.46
  6. Step 6: Final answer
    x = 2,344.34

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