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Finding the Fourth Proportional to 4,471.12, 6,170.12 and 2,454.56

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Solution

The fourth proportional to 4,471.12, 6,170.12 and 2,454.56 is: 3,387.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,471.12 : 6,170.12 = 2,454.56 : x
  2. Step 2: Convert to fraction form
    4,471.12/6,170.12 = 2,454.56/x
  3. Step 3: Cross multiply
    4,471.12x = 6,170.12 × 2,454.56
  4. Step 4: Simplify right side
    4,471.12x = 15,144,953.67
  5. Step 5: Solve for x
    x = 15,144,953.67/4,471.12
  6. Step 6: Final answer
    x = 3,387.29

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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.