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Finding the Fourth Proportional to 3,543.84, 4,889.25 and 2,198.01

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Solution

The fourth proportional to 3,543.84, 4,889.25 and 2,198.01 is: 3,032.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,543.84 : 4,889.25 = 2,198.01 : x
  2. Step 2: Convert to fraction form
    3,543.84/4,889.25 = 2,198.01/x
  3. Step 3: Cross multiply
    3,543.84x = 4,889.25 × 2,198.01
  4. Step 4: Simplify right side
    3,543.84x = 10,746,620.39
  5. Step 5: Solve for x
    x = 10,746,620.39/3,543.84
  6. Step 6: Final answer
    x = 3,032.48

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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.