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Finding the Fourth Proportional to 5,763.13, 7,936.38 and 5,006.57

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Solution

The fourth proportional to 5,763.13, 7,936.38 and 5,006.57 is: 6,894.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,763.13 : 7,936.38 = 5,006.57 : x
  2. Step 2: Convert to fraction form
    5,763.13/7,936.38 = 5,006.57/x
  3. Step 3: Cross multiply
    5,763.13x = 7,936.38 × 5,006.57
  4. Step 4: Simplify right side
    5,763.13x = 39,734,002.33
  5. Step 5: Solve for x
    x = 39,734,002.33/5,763.13
  6. Step 6: Final answer
    x = 6,894.52

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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.