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Finding the Fourth Proportional to 4,471.71, 6,171.23 and 2,482.30

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Solution

The fourth proportional to 4,471.71, 6,171.23 and 2,482.30 is: 3,425.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,471.71 : 6,171.23 = 2,482.30 : x
  2. Step 2: Convert to fraction form
    4,471.71/6,171.23 = 2,482.30/x
  3. Step 3: Cross multiply
    4,471.71x = 6,171.23 × 2,482.30
  4. Step 4: Simplify right side
    4,471.71x = 15,318,813.37
  5. Step 5: Solve for x
    x = 15,318,813.37/4,471.71
  6. Step 6: Final answer
    x = 3,425.72

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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.