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Finding the Fourth Proportional to 4,471.50, 6,170.56 and 2,482

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Solution

The fourth proportional to 4,471.50, 6,170.56 and 2,482 is: 3,425.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,471.50 : 6,170.56 = 2,482 : x
  2. Step 2: Convert to fraction form
    4,471.50/6,170.56 = 2,482/x
  3. Step 3: Cross multiply
    4,471.50x = 6,170.56 × 2,482
  4. Step 4: Simplify right side
    4,471.50x = 15,315,329.92
  5. Step 5: Solve for x
    x = 15,315,329.92/4,471.50
  6. Step 6: Final answer
    x = 3,425.10

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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.