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Finding the Fourth Proportional to 5,493.64, 7,581.23 and 3,256.61

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Solution

The fourth proportional to 5,493.64, 7,581.23 and 3,256.61 is: 4,494.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,493.64 : 7,581.23 = 3,256.61 : x
  2. Step 2: Convert to fraction form
    5,493.64/7,581.23 = 3,256.61/x
  3. Step 3: Cross multiply
    5,493.64x = 7,581.23 × 3,256.61
  4. Step 4: Simplify right side
    5,493.64x = 24,689,093.15
  5. Step 5: Solve for x
    x = 24,689,093.15/5,493.64
  6. Step 6: Final answer
    x = 4,494.13

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.