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Finding the Fourth Proportional to 3,071.42, 4,232.54 and 2,863.65

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Solution

The fourth proportional to 3,071.42, 4,232.54 and 2,863.65 is: 3,946.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,071.42 : 4,232.54 = 2,863.65 : x
  2. Step 2: Convert to fraction form
    3,071.42/4,232.54 = 2,863.65/x
  3. Step 3: Cross multiply
    3,071.42x = 4,232.54 × 2,863.65
  4. Step 4: Simplify right side
    3,071.42x = 12,120,498.85
  5. Step 5: Solve for x
    x = 12,120,498.85/3,071.42
  6. Step 6: Final answer
    x = 3,946.23

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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.