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Finding the Fourth Proportional to 4,471.42, 6,170.74 and 2,702.68

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Solution

The fourth proportional to 4,471.42, 6,170.74 and 2,702.68 is: 3,729.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,471.42 : 6,170.74 = 2,702.68 : x
  2. Step 2: Convert to fraction form
    4,471.42/6,170.74 = 2,702.68/x
  3. Step 3: Cross multiply
    4,471.42x = 6,170.74 × 2,702.68
  4. Step 4: Simplify right side
    4,471.42x = 16,677,535.58
  5. Step 5: Solve for x
    x = 16,677,535.58/4,471.42
  6. Step 6: Final answer
    x = 3,729.81

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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.