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Finding the Fourth Proportional to 5,829.64, 8,744.34 and 1,447.12

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Solution

The fourth proportional to 5,829.64, 8,744.34 and 1,447.12 is: 2,170.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,829.64 : 8,744.34 = 1,447.12 : x
  2. Step 2: Convert to fraction form
    5,829.64/8,744.34 = 1,447.12/x
  3. Step 3: Cross multiply
    5,829.64x = 8,744.34 × 1,447.12
  4. Step 4: Simplify right side
    5,829.64x = 12,654,109.30
  5. Step 5: Solve for x
    x = 12,654,109.30/5,829.64
  6. Step 6: Final answer
    x = 2,170.65

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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.