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Finding the Fourth Proportional to 3,867.12, 5,808.96 and 3,714.96

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Solution

The fourth proportional to 3,867.12, 5,808.96 and 3,714.96 is: 5,580.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,867.12 : 5,808.96 = 3,714.96 : x
  2. Step 2: Convert to fraction form
    3,867.12/5,808.96 = 3,714.96/x
  3. Step 3: Cross multiply
    3,867.12x = 5,808.96 × 3,714.96
  4. Step 4: Simplify right side
    3,867.12x = 21,580,054.04
  5. Step 5: Solve for x
    x = 21,580,054.04/3,867.12
  6. Step 6: Final answer
    x = 5,580.39

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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.