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Finding the Fourth Proportional to 3,639.72, 5,459.62 and 1,174.55

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Solution

The fourth proportional to 3,639.72, 5,459.62 and 1,174.55 is: 1,761.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,639.72 : 5,459.62 = 1,174.55 : x
  2. Step 2: Convert to fraction form
    3,639.72/5,459.62 = 1,174.55/x
  3. Step 3: Cross multiply
    3,639.72x = 5,459.62 × 1,174.55
  4. Step 4: Simplify right side
    3,639.72x = 6,412,596.67
  5. Step 5: Solve for x
    x = 6,412,596.67/3,639.72
  6. Step 6: Final answer
    x = 1,761.84

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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.