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Finding the Fourth Proportional to 5,844.81, 8,065.77 and 3,192.33

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Solution

The fourth proportional to 5,844.81, 8,065.77 and 3,192.33 is: 4,405.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,844.81 : 8,065.77 = 3,192.33 : x
  2. Step 2: Convert to fraction form
    5,844.81/8,065.77 = 3,192.33/x
  3. Step 3: Cross multiply
    5,844.81x = 8,065.77 × 3,192.33
  4. Step 4: Simplify right side
    5,844.81x = 25,748,599.54
  5. Step 5: Solve for x
    x = 25,748,599.54/5,844.81
  6. Step 6: Final answer
    x = 4,405.38

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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.