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Finding the Fourth Proportional to 3,824.99, 5,276.25 and 2,406.44

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Solution

The fourth proportional to 3,824.99, 5,276.25 and 2,406.44 is: 3,319.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,824.99 : 5,276.25 = 2,406.44 : x
  2. Step 2: Convert to fraction form
    3,824.99/5,276.25 = 2,406.44/x
  3. Step 3: Cross multiply
    3,824.99x = 5,276.25 × 2,406.44
  4. Step 4: Simplify right side
    3,824.99x = 12,696,979.05
  5. Step 5: Solve for x
    x = 12,696,979.05/3,824.99
  6. Step 6: Final answer
    x = 3,319.48

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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.