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Finding the Fourth Proportional to 5,245.76, 7,862.24 and 2,468.80

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Solution

The fourth proportional to 5,245.76, 7,862.24 and 2,468.80 is: 3,700.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,245.76 : 7,862.24 = 2,468.80 : x
  2. Step 2: Convert to fraction form
    5,245.76/7,862.24 = 2,468.80/x
  3. Step 3: Cross multiply
    5,245.76x = 7,862.24 × 2,468.80
  4. Step 4: Simplify right side
    5,245.76x = 19,410,298.11
  5. Step 5: Solve for x
    x = 19,410,298.11/5,245.76
  6. Step 6: Final answer
    x = 3,700.19

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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.