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Finding the Fourth Proportional to 5,024.25, 6,934.07 and 2,928.38

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Solution

The fourth proportional to 5,024.25, 6,934.07 and 2,928.38 is: 4,041.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,024.25 : 6,934.07 = 2,928.38 : x
  2. Step 2: Convert to fraction form
    5,024.25/6,934.07 = 2,928.38/x
  3. Step 3: Cross multiply
    5,024.25x = 6,934.07 × 2,928.38
  4. Step 4: Simplify right side
    5,024.25x = 20,305,564.56
  5. Step 5: Solve for x
    x = 20,305,564.56/5,024.25
  6. Step 6: Final answer
    x = 4,041.51

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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.