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Finding the Fourth Proportional to 4,121.50, 5,687.68 and 2,258.50

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Solution

The fourth proportional to 4,121.50, 5,687.68 and 2,258.50 is: 3,116.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,121.50 : 5,687.68 = 2,258.50 : x
  2. Step 2: Convert to fraction form
    4,121.50/5,687.68 = 2,258.50/x
  3. Step 3: Cross multiply
    4,121.50x = 5,687.68 × 2,258.50
  4. Step 4: Simplify right side
    4,121.50x = 12,845,625.28
  5. Step 5: Solve for x
    x = 12,845,625.28/4,121.50
  6. Step 6: Final answer
    x = 3,116.74

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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.