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Finding the Fourth Proportional to 5,338.53, 7,987.71 and 5,057.25

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Solution

The fourth proportional to 5,338.53, 7,987.71 and 5,057.25 is: 7,566.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,338.53 : 7,987.71 = 5,057.25 : x
  2. Step 2: Convert to fraction form
    5,338.53/7,987.71 = 5,057.25/x
  3. Step 3: Cross multiply
    5,338.53x = 7,987.71 × 5,057.25
  4. Step 4: Simplify right side
    5,338.53x = 40,395,846.40
  5. Step 5: Solve for x
    x = 40,395,846.40/5,338.53
  6. Step 6: Final answer
    x = 7,566.85

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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.