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Finding the Fourth Proportional to 3,398.41, 5,091.80 and 2,657.74

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Solution

The fourth proportional to 3,398.41, 5,091.80 and 2,657.74 is: 3,982.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,398.41 : 5,091.80 = 2,657.74 : x
  2. Step 2: Convert to fraction form
    3,398.41/5,091.80 = 2,657.74/x
  3. Step 3: Cross multiply
    3,398.41x = 5,091.80 × 2,657.74
  4. Step 4: Simplify right side
    3,398.41x = 13,532,655.07
  5. Step 5: Solve for x
    x = 13,532,655.07/3,398.41
  6. Step 6: Final answer
    x = 3,982.05

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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.