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Finding the Fourth Proportional to 4,471.52, 6,170.70 and 2,482

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Solution

The fourth proportional to 4,471.52, 6,170.70 and 2,482 is: 3,425.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,471.52 : 6,170.70 = 2,482 : x
  2. Step 2: Convert to fraction form
    4,471.52/6,170.70 = 2,482/x
  3. Step 3: Cross multiply
    4,471.52x = 6,170.70 × 2,482
  4. Step 4: Simplify right side
    4,471.52x = 15,315,677.40
  5. Step 5: Solve for x
    x = 15,315,677.40/4,471.52
  6. Step 6: Final answer
    x = 3,425.16

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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.