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Finding the Fourth Proportional to 5,603.42, 7,733.17 and 3,213.61

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Solution

The fourth proportional to 5,603.42, 7,733.17 and 3,213.61 is: 4,435.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,603.42 : 7,733.17 = 3,213.61 : x
  2. Step 2: Convert to fraction form
    5,603.42/7,733.17 = 3,213.61/x
  3. Step 3: Cross multiply
    5,603.42x = 7,733.17 × 3,213.61
  4. Step 4: Simplify right side
    5,603.42x = 24,851,392.44
  5. Step 5: Solve for x
    x = 24,851,392.44/5,603.42
  6. Step 6: Final answer
    x = 4,435.04

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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.