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Finding the Fourth Proportional to 3,055.64, 4,214.88 and 2,258.14

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Solution

The fourth proportional to 3,055.64, 4,214.88 and 2,258.14 is: 3,114.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,055.64 : 4,214.88 = 2,258.14 : x
  2. Step 2: Convert to fraction form
    3,055.64/4,214.88 = 2,258.14/x
  3. Step 3: Cross multiply
    3,055.64x = 4,214.88 × 2,258.14
  4. Step 4: Simplify right side
    3,055.64x = 9,517,789.12
  5. Step 5: Solve for x
    x = 9,517,789.12/3,055.64
  6. Step 6: Final answer
    x = 3,114.83

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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.