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Finding the Fourth Proportional to 5,239.53, 7,858.13 and 1,542.02

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Solution

The fourth proportional to 5,239.53, 7,858.13 and 1,542.02 is: 2,312.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,239.53 : 7,858.13 = 1,542.02 : x
  2. Step 2: Convert to fraction form
    5,239.53/7,858.13 = 1,542.02/x
  3. Step 3: Cross multiply
    5,239.53x = 7,858.13 × 1,542.02
  4. Step 4: Simplify right side
    5,239.53x = 12,117,346.62
  5. Step 5: Solve for x
    x = 12,117,346.62/5,239.53
  6. Step 6: Final answer
    x = 2,312.68

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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.