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Finding the Fourth Proportional to 5,134.92, 7,701.19 and 1,437.41

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Solution

The fourth proportional to 5,134.92, 7,701.19 and 1,437.41 is: 2,155.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,134.92 : 7,701.19 = 1,437.41 : x
  2. Step 2: Convert to fraction form
    5,134.92/7,701.19 = 1,437.41/x
  3. Step 3: Cross multiply
    5,134.92x = 7,701.19 × 1,437.41
  4. Step 4: Simplify right side
    5,134.92x = 11,069,729.01
  5. Step 5: Solve for x
    x = 11,069,729.01/5,134.92
  6. Step 6: Final answer
    x = 2,155.78

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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.