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Finding the Fourth Proportional to 4,471.79, 6,171 and 2,482.31

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Solution

The fourth proportional to 4,471.79, 6,171 and 2,482.31 is: 3,425.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,471.79 : 6,171 = 2,482.31 : x
  2. Step 2: Convert to fraction form
    4,471.79/6,171 = 2,482.31/x
  3. Step 3: Cross multiply
    4,471.79x = 6,171 × 2,482.31
  4. Step 4: Simplify right side
    4,471.79x = 15,318,304.16
  5. Step 5: Solve for x
    x = 15,318,304.16/4,471.79
  6. Step 6: Final answer
    x = 3,425.55

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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.