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Finding the Fourth Proportional to 5,169.33, 7,750.76 and 3,412.47

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Solution

The fourth proportional to 5,169.33, 7,750.76 and 3,412.47 is: 5,116.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,169.33 : 7,750.76 = 3,412.47 : x
  2. Step 2: Convert to fraction form
    5,169.33/7,750.76 = 3,412.47/x
  3. Step 3: Cross multiply
    5,169.33x = 7,750.76 × 3,412.47
  4. Step 4: Simplify right side
    5,169.33x = 26,449,218.91
  5. Step 5: Solve for x
    x = 26,449,218.91/5,169.33
  6. Step 6: Final answer
    x = 5,116.57

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.