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Finding the Fourth Proportional to 3,508, 5,259.24 and 1,948.54

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Solution

The fourth proportional to 3,508, 5,259.24 and 1,948.54 is: 2,921.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,508 : 5,259.24 = 1,948.54 : x
  2. Step 2: Convert to fraction form
    3,508/5,259.24 = 1,948.54/x
  3. Step 3: Cross multiply
    3,508x = 5,259.24 × 1,948.54
  4. Step 4: Simplify right side
    3,508x = 10,247,839.51
  5. Step 5: Solve for x
    x = 10,247,839.51/3,508
  6. Step 6: Final answer
    x = 2,921.28

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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.