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Finding the Fourth Proportional to 5,695.38, 7,859.76 and 3,177.70

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Solution

The fourth proportional to 5,695.38, 7,859.76 and 3,177.70 is: 4,385.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,695.38 : 7,859.76 = 3,177.70 : x
  2. Step 2: Convert to fraction form
    5,695.38/7,859.76 = 3,177.70/x
  3. Step 3: Cross multiply
    5,695.38x = 7,859.76 × 3,177.70
  4. Step 4: Simplify right side
    5,695.38x = 24,975,959.35
  5. Step 5: Solve for x
    x = 24,975,959.35/5,695.38
  6. Step 6: Final answer
    x = 4,385.30

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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.