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Finding the Fourth Proportional to 6,032.69, 9,048.08 and 3,691.88

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Solution

The fourth proportional to 6,032.69, 9,048.08 and 3,691.88 is: 5,537.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,032.69 : 9,048.08 = 3,691.88 : x
  2. Step 2: Convert to fraction form
    6,032.69/9,048.08 = 3,691.88/x
  3. Step 3: Cross multiply
    6,032.69x = 9,048.08 × 3,691.88
  4. Step 4: Simplify right side
    6,032.69x = 33,404,425.59
  5. Step 5: Solve for x
    x = 33,404,425.59/6,032.69
  6. Step 6: Final answer
    x = 5,537.24

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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.