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Finding the Fourth Proportional to 4,248.30, 5,863.14 and 4,112.22

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Solution

The fourth proportional to 4,248.30, 5,863.14 and 4,112.22 is: 5,675.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,248.30 : 5,863.14 = 4,112.22 : x
  2. Step 2: Convert to fraction form
    4,248.30/5,863.14 = 4,112.22/x
  3. Step 3: Cross multiply
    4,248.30x = 5,863.14 × 4,112.22
  4. Step 4: Simplify right side
    4,248.30x = 24,110,521.57
  5. Step 5: Solve for x
    x = 24,110,521.57/4,248.30
  6. Step 6: Final answer
    x = 5,675.33

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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.