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Finding the Fourth Proportional to 3,517.41, 4,854.01 and 2,024.78

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Solution

The fourth proportional to 3,517.41, 4,854.01 and 2,024.78 is: 2,794.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,517.41 : 4,854.01 = 2,024.78 : x
  2. Step 2: Convert to fraction form
    3,517.41/4,854.01 = 2,024.78/x
  3. Step 3: Cross multiply
    3,517.41x = 4,854.01 × 2,024.78
  4. Step 4: Simplify right side
    3,517.41x = 9,828,285.17
  5. Step 5: Solve for x
    x = 9,828,285.17/3,517.41
  6. Step 6: Final answer
    x = 2,794.19

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.