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Finding the Fourth Proportional to 3,753.75, 5,627.52 and 1,564.05

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Solution

The fourth proportional to 3,753.75, 5,627.52 and 1,564.05 is: 2,344.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,753.75 : 5,627.52 = 1,564.05 : x
  2. Step 2: Convert to fraction form
    3,753.75/5,627.52 = 1,564.05/x
  3. Step 3: Cross multiply
    3,753.75x = 5,627.52 × 1,564.05
  4. Step 4: Simplify right side
    3,753.75x = 8,801,722.66
  5. Step 5: Solve for x
    x = 8,801,722.66/3,753.75
  6. Step 6: Final answer
    x = 2,344.78

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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.