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Finding the Fourth Proportional to 5,248.13, 7,872.19 and 1,352.53

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Solution

The fourth proportional to 5,248.13, 7,872.19 and 1,352.53 is: 2,028.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,248.13 : 7,872.19 = 1,352.53 : x
  2. Step 2: Convert to fraction form
    5,248.13/7,872.19 = 1,352.53/x
  3. Step 3: Cross multiply
    5,248.13x = 7,872.19 × 1,352.53
  4. Step 4: Simplify right side
    5,248.13x = 10,647,379.60
  5. Step 5: Solve for x
    x = 10,647,379.60/5,248.13
  6. Step 6: Final answer
    x = 2,028.80

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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.