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Finding the Fourth Proportional to 5,437.30, 8,154.72 and 2,514

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Solution

The fourth proportional to 5,437.30, 8,154.72 and 2,514 is: 3,770.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,437.30 : 8,154.72 = 2,514 : x
  2. Step 2: Convert to fraction form
    5,437.30/8,154.72 = 2,514/x
  3. Step 3: Cross multiply
    5,437.30x = 8,154.72 × 2,514
  4. Step 4: Simplify right side
    5,437.30x = 20,500,966.08
  5. Step 5: Solve for x
    x = 20,500,966.08/5,437.30
  6. Step 6: Final answer
    x = 3,770.43

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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.