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Finding the Fourth Proportional to 6,391.88, 8,822.60 and 3,874.76

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Solution

The fourth proportional to 6,391.88, 8,822.60 and 3,874.76 is: 5,348.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,391.88 : 8,822.60 = 3,874.76 : x
  2. Step 2: Convert to fraction form
    6,391.88/8,822.60 = 3,874.76/x
  3. Step 3: Cross multiply
    6,391.88x = 8,822.60 × 3,874.76
  4. Step 4: Simplify right side
    6,391.88x = 34,185,457.58
  5. Step 5: Solve for x
    x = 34,185,457.58/6,391.88
  6. Step 6: Final answer
    x = 5,348.26

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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.