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Finding the Fourth Proportional to 3,788.16, 5,682.33 and 1,447.86

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Solution

The fourth proportional to 3,788.16, 5,682.33 and 1,447.86 is: 2,171.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,788.16 : 5,682.33 = 1,447.86 : x
  2. Step 2: Convert to fraction form
    3,788.16/5,682.33 = 1,447.86/x
  3. Step 3: Cross multiply
    3,788.16x = 5,682.33 × 1,447.86
  4. Step 4: Simplify right side
    3,788.16x = 8,227,218.31
  5. Step 5: Solve for x
    x = 8,227,218.31/3,788.16
  6. Step 6: Final answer
    x = 2,171.82

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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.