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Finding the Fourth Proportional to 3,472.74, 4,793.40 and 2,294.10

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Solution

The fourth proportional to 3,472.74, 4,793.40 and 2,294.10 is: 3,166.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,472.74 : 4,793.40 = 2,294.10 : x
  2. Step 2: Convert to fraction form
    3,472.74/4,793.40 = 2,294.10/x
  3. Step 3: Cross multiply
    3,472.74x = 4,793.40 × 2,294.10
  4. Step 4: Simplify right side
    3,472.74x = 10,996,538.94
  5. Step 5: Solve for x
    x = 10,996,538.94/3,472.74
  6. Step 6: Final answer
    x = 3,166.53

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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.