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Finding the Fourth Proportional to 3,517.39, 4,854.03 and 2,258.47

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Solution

The fourth proportional to 3,517.39, 4,854.03 and 2,258.47 is: 3,116.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,517.39 : 4,854.03 = 2,258.47 : x
  2. Step 2: Convert to fraction form
    3,517.39/4,854.03 = 2,258.47/x
  3. Step 3: Cross multiply
    3,517.39x = 4,854.03 × 2,258.47
  4. Step 4: Simplify right side
    3,517.39x = 10,962,681.13
  5. Step 5: Solve for x
    x = 10,962,681.13/3,517.39
  6. Step 6: Final answer
    x = 3,116.71

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Why These Related Problems?

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