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Finding the Fourth Proportional to 3,997.34, 5,990.54 and 2,045.46

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Solution

The fourth proportional to 3,997.34, 5,990.54 and 2,045.46 is: 3,065.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,997.34 : 5,990.54 = 2,045.46 : x
  2. Step 2: Convert to fraction form
    3,997.34/5,990.54 = 2,045.46/x
  3. Step 3: Cross multiply
    3,997.34x = 5,990.54 × 2,045.46
  4. Step 4: Simplify right side
    3,997.34x = 12,253,409.95
  5. Step 5: Solve for x
    x = 12,253,409.95/3,997.34
  6. Step 6: Final answer
    x = 3,065.39

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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.