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Finding the Fourth Proportional to 3,338.40, 5,018.40 and 2,371.20

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Solution

The fourth proportional to 3,338.40, 5,018.40 and 2,371.20 is: 3,564.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,338.40 : 5,018.40 = 2,371.20 : x
  2. Step 2: Convert to fraction form
    3,338.40/5,018.40 = 2,371.20/x
  3. Step 3: Cross multiply
    3,338.40x = 5,018.40 × 2,371.20
  4. Step 4: Simplify right side
    3,338.40x = 11,899,630.08
  5. Step 5: Solve for x
    x = 11,899,630.08/3,338.40
  6. Step 6: Final answer
    x = 3,564.47

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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.