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Finding the Fourth Proportional to 3,994.34, 5,990.63 and 1,182.47

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Solution

The fourth proportional to 3,994.34, 5,990.63 and 1,182.47 is: 1,773.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,994.34 : 5,990.63 = 1,182.47 : x
  2. Step 2: Convert to fraction form
    3,994.34/5,990.63 = 1,182.47/x
  3. Step 3: Cross multiply
    3,994.34x = 5,990.63 × 1,182.47
  4. Step 4: Simplify right side
    3,994.34x = 7,083,704.39
  5. Step 5: Solve for x
    x = 7,083,704.39/3,994.34
  6. Step 6: Final answer
    x = 1,773.44

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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.