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Finding the Fourth Proportional to 5,034.66, 6,948.27 and 2,939.46

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Solution

The fourth proportional to 5,034.66, 6,948.27 and 2,939.46 is: 4,056.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,034.66 : 6,948.27 = 2,939.46 : x
  2. Step 2: Convert to fraction form
    5,034.66/6,948.27 = 2,939.46/x
  3. Step 3: Cross multiply
    5,034.66x = 6,948.27 × 2,939.46
  4. Step 4: Simplify right side
    5,034.66x = 20,424,161.73
  5. Step 5: Solve for x
    x = 20,424,161.73/5,034.66
  6. Step 6: Final answer
    x = 4,056.71

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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.