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Finding the Fourth Proportional to 5,239.83, 7,860.24 and 1,952.14

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Solution

The fourth proportional to 5,239.83, 7,860.24 and 1,952.14 is: 2,928.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,239.83 : 7,860.24 = 1,952.14 : x
  2. Step 2: Convert to fraction form
    5,239.83/7,860.24 = 1,952.14/x
  3. Step 3: Cross multiply
    5,239.83x = 7,860.24 × 1,952.14
  4. Step 4: Simplify right side
    5,239.83x = 15,344,288.91
  5. Step 5: Solve for x
    x = 15,344,288.91/5,239.83
  6. Step 6: Final answer
    x = 2,928.39

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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.