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Finding the Fourth Proportional to 4,418, 6,095.08 and 2,847

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Solution

The fourth proportional to 4,418, 6,095.08 and 2,847 is: 3,927.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,418 : 6,095.08 = 2,847 : x
  2. Step 2: Convert to fraction form
    4,418/6,095.08 = 2,847/x
  3. Step 3: Cross multiply
    4,418x = 6,095.08 × 2,847
  4. Step 4: Simplify right side
    4,418x = 17,352,692.76
  5. Step 5: Solve for x
    x = 17,352,692.76/4,418
  6. Step 6: Final answer
    x = 3,927.73

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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.