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Finding the Fourth Proportional to 3,818.56, 5,268.70 and 2,224.24

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Solution

The fourth proportional to 3,818.56, 5,268.70 and 2,224.24 is: 3,068.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,818.56 : 5,268.70 = 2,224.24 : x
  2. Step 2: Convert to fraction form
    3,818.56/5,268.70 = 2,224.24/x
  3. Step 3: Cross multiply
    3,818.56x = 5,268.70 × 2,224.24
  4. Step 4: Simplify right side
    3,818.56x = 11,718,853.29
  5. Step 5: Solve for x
    x = 11,718,853.29/3,818.56
  6. Step 6: Final answer
    x = 3,068.92

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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.