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Finding the Fourth Proportional to 3,897.32, 5,846.84 and 2,049.30

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Solution

The fourth proportional to 3,897.32, 5,846.84 and 2,049.30 is: 3,074.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,897.32 : 5,846.84 = 2,049.30 : x
  2. Step 2: Convert to fraction form
    3,897.32/5,846.84 = 2,049.30/x
  3. Step 3: Cross multiply
    3,897.32x = 5,846.84 × 2,049.30
  4. Step 4: Simplify right side
    3,897.32x = 11,981,929.21
  5. Step 5: Solve for x
    x = 11,981,929.21/3,897.32
  6. Step 6: Final answer
    x = 3,074.40

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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.