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Finding the Fourth Proportional to 5,764.68, 7,956.54 and 3,375.72

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Solution

The fourth proportional to 5,764.68, 7,956.54 and 3,375.72 is: 4,659.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,764.68 : 7,956.54 = 3,375.72 : x
  2. Step 2: Convert to fraction form
    5,764.68/7,956.54 = 3,375.72/x
  3. Step 3: Cross multiply
    5,764.68x = 7,956.54 × 3,375.72
  4. Step 4: Simplify right side
    5,764.68x = 26,859,051.21
  5. Step 5: Solve for x
    x = 26,859,051.21/5,764.68
  6. Step 6: Final answer
    x = 4,659.24

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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.