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Finding the Fourth Proportional to 3,732.48, 5,598.52 and 1,135.22

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Solution

The fourth proportional to 3,732.48, 5,598.52 and 1,135.22 is: 1,702.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,732.48 : 5,598.52 = 1,135.22 : x
  2. Step 2: Convert to fraction form
    3,732.48/5,598.52 = 1,135.22/x
  3. Step 3: Cross multiply
    3,732.48x = 5,598.52 × 1,135.22
  4. Step 4: Simplify right side
    3,732.48x = 6,355,548.42
  5. Step 5: Solve for x
    x = 6,355,548.42/3,732.48
  6. Step 6: Final answer
    x = 1,702.77

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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.