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Finding the Fourth Proportional to 6,859.38, 9,465.89 and 3,875.80

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Solution

The fourth proportional to 6,859.38, 9,465.89 and 3,875.80 is: 5,348.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,859.38 : 9,465.89 = 3,875.80 : x
  2. Step 2: Convert to fraction form
    6,859.38/9,465.89 = 3,875.80/x
  3. Step 3: Cross multiply
    6,859.38x = 9,465.89 × 3,875.80
  4. Step 4: Simplify right side
    6,859.38x = 36,687,849.13
  5. Step 5: Solve for x
    x = 36,687,849.13/6,859.38
  6. Step 6: Final answer
    x = 5,348.57

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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.