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Finding the Fourth Proportional to 3,729.72, 5,595.54 and 1,132.68

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Solution

The fourth proportional to 3,729.72, 5,595.54 and 1,132.68 is: 1,699.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,729.72 : 5,595.54 = 1,132.68 : x
  2. Step 2: Convert to fraction form
    3,729.72/5,595.54 = 1,132.68/x
  3. Step 3: Cross multiply
    3,729.72x = 5,595.54 × 1,132.68
  4. Step 4: Simplify right side
    3,729.72x = 6,337,956.25
  5. Step 5: Solve for x
    x = 6,337,956.25/3,729.72
  6. Step 6: Final answer
    x = 1,699.31

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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.