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Finding the Fourth Proportional to 5,838.22, 8,751.12 and 2,909.98

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Solution

The fourth proportional to 5,838.22, 8,751.12 and 2,909.98 is: 4,361.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,838.22 : 8,751.12 = 2,909.98 : x
  2. Step 2: Convert to fraction form
    5,838.22/8,751.12 = 2,909.98/x
  3. Step 3: Cross multiply
    5,838.22x = 8,751.12 × 2,909.98
  4. Step 4: Simplify right side
    5,838.22x = 25,465,584.18
  5. Step 5: Solve for x
    x = 25,465,584.18/5,838.22
  6. Step 6: Final answer
    x = 4,361.87

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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.