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Finding the Fourth Proportional to 3,718.64, 5,135.92 and 3,220.48

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Solution

The fourth proportional to 3,718.64, 5,135.92 and 3,220.48 is: 4,447.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,718.64 : 5,135.92 = 3,220.48 : x
  2. Step 2: Convert to fraction form
    3,718.64/5,135.92 = 3,220.48/x
  3. Step 3: Cross multiply
    3,718.64x = 5,135.92 × 3,220.48
  4. Step 4: Simplify right side
    3,718.64x = 16,540,127.64
  5. Step 5: Solve for x
    x = 16,540,127.64/3,718.64
  6. Step 6: Final answer
    x = 4,447.90

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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.