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Finding the Fourth Proportional to 3,674.14, 5,498.01 and 2,697.82

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Solution

The fourth proportional to 3,674.14, 5,498.01 and 2,697.82 is: 4,037.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,674.14 : 5,498.01 = 2,697.82 : x
  2. Step 2: Convert to fraction form
    3,674.14/5,498.01 = 2,697.82/x
  3. Step 3: Cross multiply
    3,674.14x = 5,498.01 × 2,697.82
  4. Step 4: Simplify right side
    3,674.14x = 14,832,641.34
  5. Step 5: Solve for x
    x = 14,832,641.34/3,674.14
  6. Step 6: Final answer
    x = 4,037.04

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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.