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Finding the Fourth Proportional to 3,116.64, 4,652.16 and 2,747.60

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Solution

The fourth proportional to 3,116.64, 4,652.16 and 2,747.60 is: 4,101.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,116.64 : 4,652.16 = 2,747.60 : x
  2. Step 2: Convert to fraction form
    3,116.64/4,652.16 = 2,747.60/x
  3. Step 3: Cross multiply
    3,116.64x = 4,652.16 × 2,747.60
  4. Step 4: Simplify right side
    3,116.64x = 12,782,251.56
  5. Step 5: Solve for x
    x = 12,782,251.56/3,116.64
  6. Step 6: Final answer
    x = 4,101.29

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.