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Finding the Fourth Proportional to 5,806.87, 8,705.84 and 2,882.90

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Solution

The fourth proportional to 5,806.87, 8,705.84 and 2,882.90 is: 4,322.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,806.87 : 8,705.84 = 2,882.90 : x
  2. Step 2: Convert to fraction form
    5,806.87/8,705.84 = 2,882.90/x
  3. Step 3: Cross multiply
    5,806.87x = 8,705.84 × 2,882.90
  4. Step 4: Simplify right side
    5,806.87x = 25,098,073.49
  5. Step 5: Solve for x
    x = 25,098,073.49/5,806.87
  6. Step 6: Final answer
    x = 4,322.14

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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.