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Finding the Fourth Proportional to 3,976.20, 5,486.82 and 2,404.20

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Solution

The fourth proportional to 3,976.20, 5,486.82 and 2,404.20 is: 3,317.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,976.20 : 5,486.82 = 2,404.20 : x
  2. Step 2: Convert to fraction form
    3,976.20/5,486.82 = 2,404.20/x
  3. Step 3: Cross multiply
    3,976.20x = 5,486.82 × 2,404.20
  4. Step 4: Simplify right side
    3,976.20x = 13,191,412.64
  5. Step 5: Solve for x
    x = 13,191,412.64/3,976.20
  6. Step 6: Final answer
    x = 3,317.59

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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.