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Finding the Fourth Proportional to 5,053.14, 7,578.90 and 1,591.20

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Solution

The fourth proportional to 5,053.14, 7,578.90 and 1,591.20 is: 2,386.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,053.14 : 7,578.90 = 1,591.20 : x
  2. Step 2: Convert to fraction form
    5,053.14/7,578.90 = 1,591.20/x
  3. Step 3: Cross multiply
    5,053.14x = 7,578.90 × 1,591.20
  4. Step 4: Simplify right side
    5,053.14x = 12,059,545.68
  5. Step 5: Solve for x
    x = 12,059,545.68/5,053.14
  6. Step 6: Final answer
    x = 2,386.54

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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.