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Finding the Fourth Proportional to 3,639.66, 5,460.17 and 1,174.22

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Solution

The fourth proportional to 3,639.66, 5,460.17 and 1,174.22 is: 1,761.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,639.66 : 5,460.17 = 1,174.22 : x
  2. Step 2: Convert to fraction form
    3,639.66/5,460.17 = 1,174.22/x
  3. Step 3: Cross multiply
    3,639.66x = 5,460.17 × 1,174.22
  4. Step 4: Simplify right side
    3,639.66x = 6,411,434.95
  5. Step 5: Solve for x
    x = 6,411,434.95/3,639.66
  6. Step 6: Final answer
    x = 1,761.55

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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.