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Finding the Fourth Proportional to 4,121.07, 5,687.09 and 2,258.07

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Solution

The fourth proportional to 4,121.07, 5,687.09 and 2,258.07 is: 3,116.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,121.07 : 5,687.09 = 2,258.07 : x
  2. Step 2: Convert to fraction form
    4,121.07/5,687.09 = 2,258.07/x
  3. Step 3: Cross multiply
    4,121.07x = 5,687.09 × 2,258.07
  4. Step 4: Simplify right side
    4,121.07x = 12,841,836.03
  5. Step 5: Solve for x
    x = 12,841,836.03/4,121.07
  6. Step 6: Final answer
    x = 3,116.14

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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.