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Finding the Fourth Proportional to 3,176.01, 4,391.25 and 2,781.90

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Solution

The fourth proportional to 3,176.01, 4,391.25 and 2,781.90 is: 3,846.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,176.01 : 4,391.25 = 2,781.90 : x
  2. Step 2: Convert to fraction form
    3,176.01/4,391.25 = 2,781.90/x
  3. Step 3: Cross multiply
    3,176.01x = 4,391.25 × 2,781.90
  4. Step 4: Simplify right side
    3,176.01x = 12,216,018.38
  5. Step 5: Solve for x
    x = 12,216,018.38/3,176.01
  6. Step 6: Final answer
    x = 3,846.34

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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.