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Finding the Fourth Proportional to 5,754,859.38, 7,941,706.38 and 3,176,540.82

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Solution

The fourth proportional to 5,754,859.38, 7,941,706.38 and 3,176,540.82 is: 4,383,626.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,754,859.38 : 7,941,706.38 = 3,176,540.82 : x
  2. Step 2: Convert to fraction form
    5,754,859.38/7,941,706.38 = 3,176,540.82/x
  3. Step 3: Cross multiply
    5,754,859.38x = 7,941,706.38 × 3,176,540.82
  4. Step 4: Simplify right side
    5,754,859.38x = 25,227,154,496,524.43
  5. Step 5: Solve for x
    x = 25,227,154,496,524.43/5,754,859.38
  6. Step 6: Final answer
    x = 4,383,626.57

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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.