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Finding the Fourth Proportional to 6,244.16, 8,616.64 and 3,449.60

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Solution

The fourth proportional to 6,244.16, 8,616.64 and 3,449.60 is: 4,760.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,244.16 : 8,616.64 = 3,449.60 : x
  2. Step 2: Convert to fraction form
    6,244.16/8,616.64 = 3,449.60/x
  3. Step 3: Cross multiply
    6,244.16x = 8,616.64 × 3,449.60
  4. Step 4: Simplify right side
    6,244.16x = 29,723,961.34
  5. Step 5: Solve for x
    x = 29,723,961.34/6,244.16
  6. Step 6: Final answer
    x = 4,760.28

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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.