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Finding the Fourth Proportional to 3,998.64, 5,517.60 and 2,230.32

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Solution

The fourth proportional to 3,998.64, 5,517.60 and 2,230.32 is: 3,077.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,998.64 : 5,517.60 = 2,230.32 : x
  2. Step 2: Convert to fraction form
    3,998.64/5,517.60 = 2,230.32/x
  3. Step 3: Cross multiply
    3,998.64x = 5,517.60 × 2,230.32
  4. Step 4: Simplify right side
    3,998.64x = 12,306,013.63
  5. Step 5: Solve for x
    x = 12,306,013.63/3,998.64
  6. Step 6: Final answer
    x = 3,077.55

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.