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Finding the Fourth Proportional to 3,472.70, 4,792.31 and 2,294.01

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Solution

The fourth proportional to 3,472.70, 4,792.31 and 2,294.01 is: 3,165.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,472.70 : 4,792.31 = 2,294.01 : x
  2. Step 2: Convert to fraction form
    3,472.70/4,792.31 = 2,294.01/x
  3. Step 3: Cross multiply
    3,472.70x = 4,792.31 × 2,294.01
  4. Step 4: Simplify right side
    3,472.70x = 10,993,595.59
  5. Step 5: Solve for x
    x = 10,993,595.59/3,472.70
  6. Step 6: Final answer
    x = 3,165.72

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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.