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Finding the Fourth Proportional to 3,844.42, 5,308.14 and 2,354.37

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Solution

The fourth proportional to 3,844.42, 5,308.14 and 2,354.37 is: 3,250.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,844.42 : 5,308.14 = 2,354.37 : x
  2. Step 2: Convert to fraction form
    3,844.42/5,308.14 = 2,354.37/x
  3. Step 3: Cross multiply
    3,844.42x = 5,308.14 × 2,354.37
  4. Step 4: Simplify right side
    3,844.42x = 12,497,301.25
  5. Step 5: Solve for x
    x = 12,497,301.25/3,844.42
  6. Step 6: Final answer
    x = 3,250.77

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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.