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Finding the Fourth Proportional to 4,471.46, 6,170.68 and 2,482.14

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Solution

The fourth proportional to 4,471.46, 6,170.68 and 2,482.14 is: 3,425.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,471.46 : 6,170.68 = 2,482.14 : x
  2. Step 2: Convert to fraction form
    4,471.46/6,170.68 = 2,482.14/x
  3. Step 3: Cross multiply
    4,471.46x = 6,170.68 × 2,482.14
  4. Step 4: Simplify right side
    4,471.46x = 15,316,491.66
  5. Step 5: Solve for x
    x = 15,316,491.66/4,471.46
  6. Step 6: Final answer
    x = 3,425.39

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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.