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Finding the Fourth Proportional to 5,764.97, 7,948.23 and 3,774.80

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Solution

The fourth proportional to 5,764.97, 7,948.23 and 3,774.80 is: 5,204.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,764.97 : 7,948.23 = 3,774.80 : x
  2. Step 2: Convert to fraction form
    5,764.97/7,948.23 = 3,774.80/x
  3. Step 3: Cross multiply
    5,764.97x = 7,948.23 × 3,774.80
  4. Step 4: Simplify right side
    5,764.97x = 30,002,984.32
  5. Step 5: Solve for x
    x = 30,002,984.32/5,764.97
  6. Step 6: Final answer
    x = 5,204.36

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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.