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Finding the Fourth Proportional to 5,805.39, 8,012.43 and 3,447.66

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Solution

The fourth proportional to 5,805.39, 8,012.43 and 3,447.66 is: 4,758.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,805.39 : 8,012.43 = 3,447.66 : x
  2. Step 2: Convert to fraction form
    5,805.39/8,012.43 = 3,447.66/x
  3. Step 3: Cross multiply
    5,805.39x = 8,012.43 × 3,447.66
  4. Step 4: Simplify right side
    5,805.39x = 27,624,134.41
  5. Step 5: Solve for x
    x = 27,624,134.41/5,805.39
  6. Step 6: Final answer
    x = 4,758.36

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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.