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Finding the Fourth Proportional to 5,205.64, 7,171.62 and 3,630.92

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Solution

The fourth proportional to 5,205.64, 7,171.62 and 3,630.92 is: 5,002.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,205.64 : 7,171.62 = 3,630.92 : x
  2. Step 2: Convert to fraction form
    5,205.64/7,171.62 = 3,630.92/x
  3. Step 3: Cross multiply
    5,205.64x = 7,171.62 × 3,630.92
  4. Step 4: Simplify right side
    5,205.64x = 26,039,578.49
  5. Step 5: Solve for x
    x = 26,039,578.49/5,205.64
  6. Step 6: Final answer
    x = 5,002.19

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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.