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Finding the Fourth Proportional to 5,411.12, 8,116.80 and 2,488.64

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Solution

The fourth proportional to 5,411.12, 8,116.80 and 2,488.64 is: 3,733.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,411.12 : 8,116.80 = 2,488.64 : x
  2. Step 2: Convert to fraction form
    5,411.12/8,116.80 = 2,488.64/x
  3. Step 3: Cross multiply
    5,411.12x = 8,116.80 × 2,488.64
  4. Step 4: Simplify right side
    5,411.12x = 20,199,793.15
  5. Step 5: Solve for x
    x = 20,199,793.15/5,411.12
  6. Step 6: Final answer
    x = 3,733.02

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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.