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Finding the Fourth Proportional to 5,260.14, 7,882.68 and 3,862.51

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Solution

The fourth proportional to 5,260.14, 7,882.68 and 3,862.51 is: 5,788.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,260.14 : 7,882.68 = 3,862.51 : x
  2. Step 2: Convert to fraction form
    5,260.14/7,882.68 = 3,862.51/x
  3. Step 3: Cross multiply
    5,260.14x = 7,882.68 × 3,862.51
  4. Step 4: Simplify right side
    5,260.14x = 30,446,900.57
  5. Step 5: Solve for x
    x = 30,446,900.57/5,260.14
  6. Step 6: Final answer
    x = 5,788.24

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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.