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Finding the Fourth Proportional to 3,991.38, 5,507.10 and 2,419.20

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Solution

The fourth proportional to 3,991.38, 5,507.10 and 2,419.20 is: 3,337.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,991.38 : 5,507.10 = 2,419.20 : x
  2. Step 2: Convert to fraction form
    3,991.38/5,507.10 = 2,419.20/x
  3. Step 3: Cross multiply
    3,991.38x = 5,507.10 × 2,419.20
  4. Step 4: Simplify right side
    3,991.38x = 13,322,776.32
  5. Step 5: Solve for x
    x = 13,322,776.32/3,991.38
  6. Step 6: Final answer
    x = 3,337.89

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Why These Related Problems?

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