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Finding the Fourth Proportional to 3,167.12, 4,772.30 and 2,602.64

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Solution

The fourth proportional to 3,167.12, 4,772.30 and 2,602.64 is: 3,921.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,167.12 : 4,772.30 = 2,602.64 : x
  2. Step 2: Convert to fraction form
    3,167.12/4,772.30 = 2,602.64/x
  3. Step 3: Cross multiply
    3,167.12x = 4,772.30 × 2,602.64
  4. Step 4: Simplify right side
    3,167.12x = 12,420,578.87
  5. Step 5: Solve for x
    x = 12,420,578.87/3,167.12
  6. Step 6: Final answer
    x = 3,921.73

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.