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Finding the Fourth Proportional to 5,949.78, 8,924.28 and 1,567.26

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Solution

The fourth proportional to 5,949.78, 8,924.28 and 1,567.26 is: 2,350.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,949.78 : 8,924.28 = 1,567.26 : x
  2. Step 2: Convert to fraction form
    5,949.78/8,924.28 = 1,567.26/x
  3. Step 3: Cross multiply
    5,949.78x = 8,924.28 × 1,567.26
  4. Step 4: Simplify right side
    5,949.78x = 13,986,667.07
  5. Step 5: Solve for x
    x = 13,986,667.07/5,949.78
  6. Step 6: Final answer
    x = 2,350.79

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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.