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Finding the Fourth Proportional to 3,852.33, 5,778.89 and 1,254.66

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Solution

The fourth proportional to 3,852.33, 5,778.89 and 1,254.66 is: 1,882.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,852.33 : 5,778.89 = 1,254.66 : x
  2. Step 2: Convert to fraction form
    3,852.33/5,778.89 = 1,254.66/x
  3. Step 3: Cross multiply
    3,852.33x = 5,778.89 × 1,254.66
  4. Step 4: Simplify right side
    3,852.33x = 7,250,542.13
  5. Step 5: Solve for x
    x = 7,250,542.13/3,852.33
  6. Step 6: Final answer
    x = 1,882.12

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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.