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Finding the Fourth Proportional to 5,714.35, 8,556.84 and 3,956.85

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Solution

The fourth proportional to 5,714.35, 8,556.84 and 3,956.85 is: 5,925.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,714.35 : 8,556.84 = 3,956.85 : x
  2. Step 2: Convert to fraction form
    5,714.35/8,556.84 = 3,956.85/x
  3. Step 3: Cross multiply
    5,714.35x = 8,556.84 × 3,956.85
  4. Step 4: Simplify right side
    5,714.35x = 33,858,132.35
  5. Step 5: Solve for x
    x = 33,858,132.35/5,714.35
  6. Step 6: Final answer
    x = 5,925.11

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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.