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Finding the Fourth Proportional to 5,618.46, 7,754.01 and 3,228.78

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Solution

The fourth proportional to 5,618.46, 7,754.01 and 3,228.78 is: 4,456.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,618.46 : 7,754.01 = 3,228.78 : x
  2. Step 2: Convert to fraction form
    5,618.46/7,754.01 = 3,228.78/x
  3. Step 3: Cross multiply
    5,618.46x = 7,754.01 × 3,228.78
  4. Step 4: Simplify right side
    5,618.46x = 25,035,992.41
  5. Step 5: Solve for x
    x = 25,035,992.41/5,618.46
  6. Step 6: Final answer
    x = 4,456.02

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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.