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Finding the Fourth Proportional to 5,803.97, 8,009.52 and 3,151.38

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Solution

The fourth proportional to 5,803.97, 8,009.52 and 3,151.38 is: 4,348.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,803.97 : 8,009.52 = 3,151.38 : x
  2. Step 2: Convert to fraction form
    5,803.97/8,009.52 = 3,151.38/x
  3. Step 3: Cross multiply
    5,803.97x = 8,009.52 × 3,151.38
  4. Step 4: Simplify right side
    5,803.97x = 25,241,059.36
  5. Step 5: Solve for x
    x = 25,241,059.36/5,803.97
  6. Step 6: Final answer
    x = 4,348.93

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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.