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Finding the Fourth Proportional to 5,771.69, 7,959.70 and 3,781.52

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Solution

The fourth proportional to 5,771.69, 7,959.70 and 3,781.52 is: 5,215.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,771.69 : 7,959.70 = 3,781.52 : x
  2. Step 2: Convert to fraction form
    5,771.69/7,959.70 = 3,781.52/x
  3. Step 3: Cross multiply
    5,771.69x = 7,959.70 × 3,781.52
  4. Step 4: Simplify right side
    5,771.69x = 30,099,764.74
  5. Step 5: Solve for x
    x = 30,099,764.74/5,771.69
  6. Step 6: Final answer
    x = 5,215.07

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.