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Finding the Fourth Proportional to 3,488.59, 5,224.68 and 1,635.71

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Solution

The fourth proportional to 3,488.59, 5,224.68 and 1,635.71 is: 2,449.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,488.59 : 5,224.68 = 1,635.71 : x
  2. Step 2: Convert to fraction form
    3,488.59/5,224.68 = 1,635.71/x
  3. Step 3: Cross multiply
    3,488.59x = 5,224.68 × 1,635.71
  4. Step 4: Simplify right side
    3,488.59x = 8,546,053.14
  5. Step 5: Solve for x
    x = 8,546,053.14/3,488.59
  6. Step 6: Final answer
    x = 2,449.72

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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.