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Finding the Fourth Proportional to 3,207.62, 4,798.77 and 2,429.87

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Solution

The fourth proportional to 3,207.62, 4,798.77 and 2,429.87 is: 3,635.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,207.62 : 4,798.77 = 2,429.87 : x
  2. Step 2: Convert to fraction form
    3,207.62/4,798.77 = 2,429.87/x
  3. Step 3: Cross multiply
    3,207.62x = 4,798.77 × 2,429.87
  4. Step 4: Simplify right side
    3,207.62x = 11,660,387.26
  5. Step 5: Solve for x
    x = 11,660,387.26/3,207.62
  6. Step 6: Final answer
    x = 3,635.21

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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.