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Finding the Fourth Proportional to 4,013.30, 6,016.71 and 3,689.30

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Solution

The fourth proportional to 4,013.30, 6,016.71 and 3,689.30 is: 5,530.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,013.30 : 6,016.71 = 3,689.30 : x
  2. Step 2: Convert to fraction form
    4,013.30/6,016.71 = 3,689.30/x
  3. Step 3: Cross multiply
    4,013.30x = 6,016.71 × 3,689.30
  4. Step 4: Simplify right side
    4,013.30x = 22,197,448.20
  5. Step 5: Solve for x
    x = 22,197,448.20/4,013.30
  6. Step 6: Final answer
    x = 5,530.97

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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.