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Finding the Fourth Proportional to 4,694.14, 6,472.04 and 3,434.18

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Solution

The fourth proportional to 4,694.14, 6,472.04 and 3,434.18 is: 4,734.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,694.14 : 6,472.04 = 3,434.18 : x
  2. Step 2: Convert to fraction form
    4,694.14/6,472.04 = 3,434.18/x
  3. Step 3: Cross multiply
    4,694.14x = 6,472.04 × 3,434.18
  4. Step 4: Simplify right side
    4,694.14x = 22,226,150.33
  5. Step 5: Solve for x
    x = 22,226,150.33/4,694.14
  6. Step 6: Final answer
    x = 4,734.87

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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.