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Finding the Fourth Proportional to 4,146.52, 5,722.28 and 2,258.16

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Solution

The fourth proportional to 4,146.52, 5,722.28 and 2,258.16 is: 3,116.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,146.52 : 5,722.28 = 2,258.16 : x
  2. Step 2: Convert to fraction form
    4,146.52/5,722.28 = 2,258.16/x
  3. Step 3: Cross multiply
    4,146.52x = 5,722.28 × 2,258.16
  4. Step 4: Simplify right side
    4,146.52x = 12,921,823.80
  5. Step 5: Solve for x
    x = 12,921,823.80/4,146.52
  6. Step 6: Final answer
    x = 3,116.31

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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.