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Finding the Fourth Proportional to 4,292, 5,919.72 and 2,967.92

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Solution

The fourth proportional to 4,292, 5,919.72 and 2,967.92 is: 4,093.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,292 : 5,919.72 = 2,967.92 : x
  2. Step 2: Convert to fraction form
    4,292/5,919.72 = 2,967.92/x
  3. Step 3: Cross multiply
    4,292x = 5,919.72 × 2,967.92
  4. Step 4: Simplify right side
    4,292x = 17,569,255.38
  5. Step 5: Solve for x
    x = 17,569,255.38/4,292
  6. Step 6: Final answer
    x = 4,093.49

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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.