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Finding the Fourth Proportional to 3,824.01, 5,284.04 and 3,299.13

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Solution

The fourth proportional to 3,824.01, 5,284.04 and 3,299.13 is: 4,558.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,824.01 : 5,284.04 = 3,299.13 : x
  2. Step 2: Convert to fraction form
    3,824.01/5,284.04 = 3,299.13/x
  3. Step 3: Cross multiply
    3,824.01x = 5,284.04 × 3,299.13
  4. Step 4: Simplify right side
    3,824.01x = 17,432,718.39
  5. Step 5: Solve for x
    x = 17,432,718.39/3,824.01
  6. Step 6: Final answer
    x = 4,558.75

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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.