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Finding the Fourth Proportional to 3,808.04, 5,714.04 and 1,729.52

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Solution

The fourth proportional to 3,808.04, 5,714.04 and 1,729.52 is: 2,595.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,808.04 : 5,714.04 = 1,729.52 : x
  2. Step 2: Convert to fraction form
    3,808.04/5,714.04 = 1,729.52/x
  3. Step 3: Cross multiply
    3,808.04x = 5,714.04 × 1,729.52
  4. Step 4: Simplify right side
    3,808.04x = 9,882,546.46
  5. Step 5: Solve for x
    x = 9,882,546.46/3,808.04
  6. Step 6: Final answer
    x = 2,595.18

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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.