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Finding the Fourth Proportional to 5,919.23, 8,143.38 and 5,755.20

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Solution

The fourth proportional to 5,919.23, 8,143.38 and 5,755.20 is: 7,917.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,919.23 : 8,143.38 = 5,755.20 : x
  2. Step 2: Convert to fraction form
    5,919.23/8,143.38 = 5,755.20/x
  3. Step 3: Cross multiply
    5,919.23x = 8,143.38 × 5,755.20
  4. Step 4: Simplify right side
    5,919.23x = 46,866,780.58
  5. Step 5: Solve for x
    x = 46,866,780.58/5,919.23
  6. Step 6: Final answer
    x = 7,917.72

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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.