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Finding the Fourth Proportional to 3,757.60, 5,638.20 and 1,566.55

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Solution

The fourth proportional to 3,757.60, 5,638.20 and 1,566.55 is: 2,350.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,757.60 : 5,638.20 = 1,566.55 : x
  2. Step 2: Convert to fraction form
    3,757.60/5,638.20 = 1,566.55/x
  3. Step 3: Cross multiply
    3,757.60x = 5,638.20 × 1,566.55
  4. Step 4: Simplify right side
    3,757.60x = 8,832,522.21
  5. Step 5: Solve for x
    x = 8,832,522.21/3,757.60
  6. Step 6: Final answer
    x = 2,350.58

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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.