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Finding the Fourth Proportional to 6,513.52, 9,757.19 and 2,998.61

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Solution

The fourth proportional to 6,513.52, 9,757.19 and 2,998.61 is: 4,491.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,513.52 : 9,757.19 = 2,998.61 : x
  2. Step 2: Convert to fraction form
    6,513.52/9,757.19 = 2,998.61/x
  3. Step 3: Cross multiply
    6,513.52x = 9,757.19 × 2,998.61
  4. Step 4: Simplify right side
    6,513.52x = 29,258,007.51
  5. Step 5: Solve for x
    x = 29,258,007.51/6,513.52
  6. Step 6: Final answer
    x = 4,491.89

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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.