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Finding the Fourth Proportional to 3,774.54, 5,659.08 and 2,538.88

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Solution

The fourth proportional to 3,774.54, 5,659.08 and 2,538.88 is: 3,806.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,774.54 : 5,659.08 = 2,538.88 : x
  2. Step 2: Convert to fraction form
    3,774.54/5,659.08 = 2,538.88/x
  3. Step 3: Cross multiply
    3,774.54x = 5,659.08 × 2,538.88
  4. Step 4: Simplify right side
    3,774.54x = 14,367,725.03
  5. Step 5: Solve for x
    x = 14,367,725.03/3,774.54
  6. Step 6: Final answer
    x = 3,806.48

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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.