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Finding the Fourth Proportional to 3,954.07, 5,452.11 and 2,695.86

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Solution

The fourth proportional to 3,954.07, 5,452.11 and 2,695.86 is: 3,717.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,954.07 : 5,452.11 = 2,695.86 : x
  2. Step 2: Convert to fraction form
    3,954.07/5,452.11 = 2,695.86/x
  3. Step 3: Cross multiply
    3,954.07x = 5,452.11 × 2,695.86
  4. Step 4: Simplify right side
    3,954.07x = 14,698,109.93
  5. Step 5: Solve for x
    x = 14,698,109.93/3,954.07
  6. Step 6: Final answer
    x = 3,717.21

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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.