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Finding the Fourth Proportional to 2,596.72, 3,886.32 and 2,228.56

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Solution

The fourth proportional to 2,596.72, 3,886.32 and 2,228.56 is: 3,335.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,596.72 : 3,886.32 = 2,228.56 : x
  2. Step 2: Convert to fraction form
    2,596.72/3,886.32 = 2,228.56/x
  3. Step 3: Cross multiply
    2,596.72x = 3,886.32 × 2,228.56
  4. Step 4: Simplify right side
    2,596.72x = 8,660,897.30
  5. Step 5: Solve for x
    x = 8,660,897.30/2,596.72
  6. Step 6: Final answer
    x = 3,335.32

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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.