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Finding the Fourth Proportional to 5,891.13, 8,835.78 and 3,825.78

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Solution

The fourth proportional to 5,891.13, 8,835.78 and 3,825.78 is: 5,738.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,891.13 : 8,835.78 = 3,825.78 : x
  2. Step 2: Convert to fraction form
    5,891.13/8,835.78 = 3,825.78/x
  3. Step 3: Cross multiply
    5,891.13x = 8,835.78 × 3,825.78
  4. Step 4: Simplify right side
    5,891.13x = 33,803,728.32
  5. Step 5: Solve for x
    x = 33,803,728.32/5,891.13
  6. Step 6: Final answer
    x = 5,738.07

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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.