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Finding the Fourth Proportional to 3,820.96, 5,272.74 and 2,404.24

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Solution

The fourth proportional to 3,820.96, 5,272.74 and 2,404.24 is: 3,317.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,820.96 : 5,272.74 = 2,404.24 : x
  2. Step 2: Convert to fraction form
    3,820.96/5,272.74 = 2,404.24/x
  3. Step 3: Cross multiply
    3,820.96x = 5,272.74 × 2,404.24
  4. Step 4: Simplify right side
    3,820.96x = 12,676,932.42
  5. Step 5: Solve for x
    x = 12,676,932.42/3,820.96
  6. Step 6: Final answer
    x = 3,317.73

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.