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Finding the Fourth Proportional to 3,639.75, 5,459.84 and 1,174.38

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Solution

The fourth proportional to 3,639.75, 5,459.84 and 1,174.38 is: 1,761.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,639.75 : 5,459.84 = 1,174.38 : x
  2. Step 2: Convert to fraction form
    3,639.75/5,459.84 = 1,174.38/x
  3. Step 3: Cross multiply
    3,639.75x = 5,459.84 × 1,174.38
  4. Step 4: Simplify right side
    3,639.75x = 6,411,921.03
  5. Step 5: Solve for x
    x = 6,411,921.03/3,639.75
  6. Step 6: Final answer
    x = 1,761.64

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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.