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Finding the Fourth Proportional to 4,471.54, 6,171.09 and 2,482.75

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Solution

The fourth proportional to 4,471.54, 6,171.09 and 2,482.75 is: 3,426.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,471.54 : 6,171.09 = 2,482.75 : x
  2. Step 2: Convert to fraction form
    4,471.54/6,171.09 = 2,482.75/x
  3. Step 3: Cross multiply
    4,471.54x = 6,171.09 × 2,482.75
  4. Step 4: Simplify right side
    4,471.54x = 15,321,272.10
  5. Step 5: Solve for x
    x = 15,321,272.10/4,471.54
  6. Step 6: Final answer
    x = 3,426.40

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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.