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Finding the Fourth Proportional to 3,696.64, 5,105.80 and 2,700.32

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Solution

The fourth proportional to 3,696.64, 5,105.80 and 2,700.32 is: 3,729.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,696.64 : 5,105.80 = 2,700.32 : x
  2. Step 2: Convert to fraction form
    3,696.64/5,105.80 = 2,700.32/x
  3. Step 3: Cross multiply
    3,696.64x = 5,105.80 × 2,700.32
  4. Step 4: Simplify right side
    3,696.64x = 13,787,293.86
  5. Step 5: Solve for x
    x = 13,787,293.86/3,696.64
  6. Step 6: Final answer
    x = 3,729.68

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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.