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Finding the Fourth Proportional to 3,531.92, 4,877.14 and 2,207.88

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Solution

The fourth proportional to 3,531.92, 4,877.14 and 2,207.88 is: 3,048.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,531.92 : 4,877.14 = 2,207.88 : x
  2. Step 2: Convert to fraction form
    3,531.92/4,877.14 = 2,207.88/x
  3. Step 3: Cross multiply
    3,531.92x = 4,877.14 × 2,207.88
  4. Step 4: Simplify right side
    3,531.92x = 10,768,139.86
  5. Step 5: Solve for x
    x = 10,768,139.86/3,531.92
  6. Step 6: Final answer
    x = 3,048.81

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.