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Finding the Fourth Proportional to 3,340.30, 4,975.17 and 3,164.66

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Solution

The fourth proportional to 3,340.30, 4,975.17 and 3,164.66 is: 4,713.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,340.30 : 4,975.17 = 3,164.66 : x
  2. Step 2: Convert to fraction form
    3,340.30/4,975.17 = 3,164.66/x
  3. Step 3: Cross multiply
    3,340.30x = 4,975.17 × 3,164.66
  4. Step 4: Simplify right side
    3,340.30x = 15,744,704.20
  5. Step 5: Solve for x
    x = 15,744,704.20/3,340.30
  6. Step 6: Final answer
    x = 4,713.56

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.