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Finding the Fourth Proportional to 4,471.38, 6,171.78 and 2,703.12

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Solution

The fourth proportional to 4,471.38, 6,171.78 and 2,703.12 is: 3,731.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,471.38 : 6,171.78 = 2,703.12 : x
  2. Step 2: Convert to fraction form
    4,471.38/6,171.78 = 2,703.12/x
  3. Step 3: Cross multiply
    4,471.38x = 6,171.78 × 2,703.12
  4. Step 4: Simplify right side
    4,471.38x = 16,683,061.95
  5. Step 5: Solve for x
    x = 16,683,061.95/4,471.38
  6. Step 6: Final answer
    x = 3,731.08

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.