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Finding the Fourth Proportional to 3,596.68, 4,961.28 and 2,197

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Solution

The fourth proportional to 3,596.68, 4,961.28 and 2,197 is: 3,030.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,596.68 : 4,961.28 = 2,197 : x
  2. Step 2: Convert to fraction form
    3,596.68/4,961.28 = 2,197/x
  3. Step 3: Cross multiply
    3,596.68x = 4,961.28 × 2,197
  4. Step 4: Simplify right side
    3,596.68x = 10,899,932.16
  5. Step 5: Solve for x
    x = 10,899,932.16/3,596.68
  6. Step 6: Final answer
    x = 3,030.55

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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.