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Finding the Fourth Proportional to 5,994.81, 8,982.50 and 4,233.06

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Solution

The fourth proportional to 5,994.81, 8,982.50 and 4,233.06 is: 6,342.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,994.81 : 8,982.50 = 4,233.06 : x
  2. Step 2: Convert to fraction form
    5,994.81/8,982.50 = 4,233.06/x
  3. Step 3: Cross multiply
    5,994.81x = 8,982.50 × 4,233.06
  4. Step 4: Simplify right side
    5,994.81x = 38,023,440.28
  5. Step 5: Solve for x
    x = 38,023,440.28/5,994.81
  6. Step 6: Final answer
    x = 6,342.73

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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.