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Finding the Fourth Proportional to 3,440.64, 5,186.88 and 3,217.92

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Solution

The fourth proportional to 3,440.64, 5,186.88 and 3,217.92 is: 4,851.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,440.64 : 5,186.88 = 3,217.92 : x
  2. Step 2: Convert to fraction form
    3,440.64/5,186.88 = 3,217.92/x
  3. Step 3: Cross multiply
    3,440.64x = 5,186.88 × 3,217.92
  4. Step 4: Simplify right side
    3,440.64x = 16,690,964.89
  5. Step 5: Solve for x
    x = 16,690,964.89/3,440.64
  6. Step 6: Final answer
    x = 4,851.12

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.