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Finding the Fourth Proportional to 4,260.25, 6,387.18 and 2,869.68

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Solution

The fourth proportional to 4,260.25, 6,387.18 and 2,869.68 is: 4,302.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,260.25 : 6,387.18 = 2,869.68 : x
  2. Step 2: Convert to fraction form
    4,260.25/6,387.18 = 2,869.68/x
  3. Step 3: Cross multiply
    4,260.25x = 6,387.18 × 2,869.68
  4. Step 4: Simplify right side
    4,260.25x = 18,329,148.04
  5. Step 5: Solve for x
    x = 18,329,148.04/4,260.25
  6. Step 6: Final answer
    x = 4,302.37

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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.