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Finding the Fourth Proportional to 5,200.60, 7,805.28 and 2,082.78

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Solution

The fourth proportional to 5,200.60, 7,805.28 and 2,082.78 is: 3,125.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,200.60 : 7,805.28 = 2,082.78 : x
  2. Step 2: Convert to fraction form
    5,200.60/7,805.28 = 2,082.78/x
  3. Step 3: Cross multiply
    5,200.60x = 7,805.28 × 2,082.78
  4. Step 4: Simplify right side
    5,200.60x = 16,256,681.08
  5. Step 5: Solve for x
    x = 16,256,681.08/5,200.60
  6. Step 6: Final answer
    x = 3,125.92

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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.