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Finding the Fourth Proportional to 5,400.71, 8,101.38 and 1,505.12

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Solution

The fourth proportional to 5,400.71, 8,101.38 and 1,505.12 is: 2,257.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,400.71 : 8,101.38 = 1,505.12 : x
  2. Step 2: Convert to fraction form
    5,400.71/8,101.38 = 1,505.12/x
  3. Step 3: Cross multiply
    5,400.71x = 8,101.38 × 1,505.12
  4. Step 4: Simplify right side
    5,400.71x = 12,193,514.20
  5. Step 5: Solve for x
    x = 12,193,514.20/5,400.71
  6. Step 6: Final answer
    x = 2,257.76

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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.