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Finding the Fourth Proportional to 5,074.17, 7,600.78 and 4,648.92

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Solution

The fourth proportional to 5,074.17, 7,600.78 and 4,648.92 is: 6,963.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,074.17 : 7,600.78 = 4,648.92 : x
  2. Step 2: Convert to fraction form
    5,074.17/7,600.78 = 4,648.92/x
  3. Step 3: Cross multiply
    5,074.17x = 7,600.78 × 4,648.92
  4. Step 4: Simplify right side
    5,074.17x = 35,335,418.16
  5. Step 5: Solve for x
    x = 35,335,418.16/5,074.17
  6. Step 6: Final answer
    x = 6,963.78

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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.