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Finding the Fourth Proportional to 3,731.92, 5,598.60 and 1,134.64

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Solution

The fourth proportional to 3,731.92, 5,598.60 and 1,134.64 is: 1,702.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,731.92 : 5,598.60 = 1,134.64 : x
  2. Step 2: Convert to fraction form
    3,731.92/5,598.60 = 1,134.64/x
  3. Step 3: Cross multiply
    3,731.92x = 5,598.60 × 1,134.64
  4. Step 4: Simplify right side
    3,731.92x = 6,352,395.50
  5. Step 5: Solve for x
    x = 6,352,395.50/3,731.92
  6. Step 6: Final answer
    x = 1,702.18

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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.