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Finding the Fourth Proportional to 5,874.61, 8,106.92 and 3,221.98

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Solution

The fourth proportional to 5,874.61, 8,106.92 and 3,221.98 is: 4,446.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,874.61 : 8,106.92 = 3,221.98 : x
  2. Step 2: Convert to fraction form
    5,874.61/8,106.92 = 3,221.98/x
  3. Step 3: Cross multiply
    5,874.61x = 8,106.92 × 3,221.98
  4. Step 4: Simplify right side
    5,874.61x = 26,120,334.10
  5. Step 5: Solve for x
    x = 26,120,334.10/5,874.61
  6. Step 6: Final answer
    x = 4,446.31

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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.