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Finding the Fourth Proportional to 3,538.54, 4,882.48 and 3,009.56

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Solution

The fourth proportional to 3,538.54, 4,882.48 and 3,009.56 is: 4,152.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,538.54 : 4,882.48 = 3,009.56 : x
  2. Step 2: Convert to fraction form
    3,538.54/4,882.48 = 3,009.56/x
  3. Step 3: Cross multiply
    3,538.54x = 4,882.48 × 3,009.56
  4. Step 4: Simplify right side
    3,538.54x = 14,694,084.57
  5. Step 5: Solve for x
    x = 14,694,084.57/3,538.54
  6. Step 6: Final answer
    x = 4,152.59

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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.