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Finding the Fourth Proportional to 3,859.57, 5,789.36 and 2,710.45

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Solution

The fourth proportional to 3,859.57, 5,789.36 and 2,710.45 is: 4,065.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,859.57 : 5,789.36 = 2,710.45 : x
  2. Step 2: Convert to fraction form
    3,859.57/5,789.36 = 2,710.45/x
  3. Step 3: Cross multiply
    3,859.57x = 5,789.36 × 2,710.45
  4. Step 4: Simplify right side
    3,859.57x = 15,691,770.81
  5. Step 5: Solve for x
    x = 15,691,770.81/3,859.57
  6. Step 6: Final answer
    x = 4,065.68

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.