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Finding the Fourth Proportional to 5,695.71, 7,860.05 and 3,177.67

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Solution

The fourth proportional to 5,695.71, 7,860.05 and 3,177.67 is: 4,385.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,695.71 : 7,860.05 = 3,177.67 : x
  2. Step 2: Convert to fraction form
    5,695.71/7,860.05 = 3,177.67/x
  3. Step 3: Cross multiply
    5,695.71x = 7,860.05 × 3,177.67
  4. Step 4: Simplify right side
    5,695.71x = 24,976,633.38
  5. Step 5: Solve for x
    x = 24,976,633.38/5,695.71
  6. Step 6: Final answer
    x = 4,385.17

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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.