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Finding the Fourth Proportional to 5,765.97, 7,956.86 and 3,527.85

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Solution

The fourth proportional to 5,765.97, 7,956.86 and 3,527.85 is: 4,868.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,765.97 : 7,956.86 = 3,527.85 : x
  2. Step 2: Convert to fraction form
    5,765.97/7,956.86 = 3,527.85/x
  3. Step 3: Cross multiply
    5,765.97x = 7,956.86 × 3,527.85
  4. Step 4: Simplify right side
    5,765.97x = 28,070,590.91
  5. Step 5: Solve for x
    x = 28,070,590.91/5,765.97
  6. Step 6: Final answer
    x = 4,868.32

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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.