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Finding the Fourth Proportional to 3,708.36, 5,105.88 and 3,147.72

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Solution

The fourth proportional to 3,708.36, 5,105.88 and 3,147.72 is: 4,333.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,708.36 : 5,105.88 = 3,147.72 : x
  2. Step 2: Convert to fraction form
    3,708.36/5,105.88 = 3,147.72/x
  3. Step 3: Cross multiply
    3,708.36x = 5,105.88 × 3,147.72
  4. Step 4: Simplify right side
    3,708.36x = 16,071,880.59
  5. Step 5: Solve for x
    x = 16,071,880.59/3,708.36
  6. Step 6: Final answer
    x = 4,333.96

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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.