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Finding the Fourth Proportional to 3,511.59, 5,267.40 and 1,432.74

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Solution

The fourth proportional to 3,511.59, 5,267.40 and 1,432.74 is: 2,149.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,511.59 : 5,267.40 = 1,432.74 : x
  2. Step 2: Convert to fraction form
    3,511.59/5,267.40 = 1,432.74/x
  3. Step 3: Cross multiply
    3,511.59x = 5,267.40 × 1,432.74
  4. Step 4: Simplify right side
    3,511.59x = 7,546,814.68
  5. Step 5: Solve for x
    x = 7,546,814.68/3,511.59
  6. Step 6: Final answer
    x = 2,149.12

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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.