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Finding the Fourth Proportional to 4,863.64, 7,290.42 and 2,264.44

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Solution

The fourth proportional to 4,863.64, 7,290.42 and 2,264.44 is: 3,394.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,863.64 : 7,290.42 = 2,264.44 : x
  2. Step 2: Convert to fraction form
    4,863.64/7,290.42 = 2,264.44/x
  3. Step 3: Cross multiply
    4,863.64x = 7,290.42 × 2,264.44
  4. Step 4: Simplify right side
    4,863.64x = 16,508,718.66
  5. Step 5: Solve for x
    x = 16,508,718.66/4,863.64
  6. Step 6: Final answer
    x = 3,394.31

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.