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Finding the Fourth Proportional to 4,146.97, 5,722.97 and 2,258.71

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Solution

The fourth proportional to 4,146.97, 5,722.97 and 2,258.71 is: 3,117.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,146.97 : 5,722.97 = 2,258.71 : x
  2. Step 2: Convert to fraction form
    4,146.97/5,722.97 = 2,258.71/x
  3. Step 3: Cross multiply
    4,146.97x = 5,722.97 × 2,258.71
  4. Step 4: Simplify right side
    4,146.97x = 12,926,523.24
  5. Step 5: Solve for x
    x = 12,926,523.24/4,146.97
  6. Step 6: Final answer
    x = 3,117.10

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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.