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Finding the Fourth Proportional to 3,888.20, 5,826.16 and 2,425.16

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Solution

The fourth proportional to 3,888.20, 5,826.16 and 2,425.16 is: 3,633.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,888.20 : 5,826.16 = 2,425.16 : x
  2. Step 2: Convert to fraction form
    3,888.20/5,826.16 = 2,425.16/x
  3. Step 3: Cross multiply
    3,888.20x = 5,826.16 × 2,425.16
  4. Step 4: Simplify right side
    3,888.20x = 14,129,370.19
  5. Step 5: Solve for x
    x = 14,129,370.19/3,888.20
  6. Step 6: Final answer
    x = 3,633.91

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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.