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Finding the Fourth Proportional to 5,732.52, 7,911.68 and 3,464

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Solution

The fourth proportional to 5,732.52, 7,911.68 and 3,464 is: 4,780.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,732.52 : 7,911.68 = 3,464 : x
  2. Step 2: Convert to fraction form
    5,732.52/7,911.68 = 3,464/x
  3. Step 3: Cross multiply
    5,732.52x = 7,911.68 × 3,464
  4. Step 4: Simplify right side
    5,732.52x = 27,406,059.52
  5. Step 5: Solve for x
    x = 27,406,059.52/5,732.52
  6. Step 6: Final answer
    x = 4,780.80

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.