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Finding the Fourth Proportional to 5,638.32, 8,455.32 and 2,863.44

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Solution

The fourth proportional to 5,638.32, 8,455.32 and 2,863.44 is: 4,294.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,638.32 : 8,455.32 = 2,863.44 : x
  2. Step 2: Convert to fraction form
    5,638.32/8,455.32 = 2,863.44/x
  3. Step 3: Cross multiply
    5,638.32x = 8,455.32 × 2,863.44
  4. Step 4: Simplify right side
    5,638.32x = 24,211,301.50
  5. Step 5: Solve for x
    x = 24,211,301.50/5,638.32
  6. Step 6: Final answer
    x = 4,294.06

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Why These Related Problems?

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