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Finding the Fourth Proportional to 3,862.32, 5,333.78 and 3,299.50

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Solution

The fourth proportional to 3,862.32, 5,333.78 and 3,299.50 is: 4,556.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,862.32 : 5,333.78 = 3,299.50 : x
  2. Step 2: Convert to fraction form
    3,862.32/5,333.78 = 3,299.50/x
  3. Step 3: Cross multiply
    3,862.32x = 5,333.78 × 3,299.50
  4. Step 4: Simplify right side
    3,862.32x = 17,598,807.11
  5. Step 5: Solve for x
    x = 17,598,807.11/3,862.32
  6. Step 6: Final answer
    x = 4,556.54

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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.