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Finding the Fourth Proportional to 3,773.32, 5,658.18 and 1,174.84

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Solution

The fourth proportional to 3,773.32, 5,658.18 and 1,174.84 is: 1,761.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,773.32 : 5,658.18 = 1,174.84 : x
  2. Step 2: Convert to fraction form
    3,773.32/5,658.18 = 1,174.84/x
  3. Step 3: Cross multiply
    3,773.32x = 5,658.18 × 1,174.84
  4. Step 4: Simplify right side
    3,773.32x = 6,647,456.19
  5. Step 5: Solve for x
    x = 6,647,456.19/3,773.32
  6. Step 6: Final answer
    x = 1,761.70

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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.