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Finding the Fourth Proportional to 5,994.42, 8,271.78 and 3,341.78

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Solution

The fourth proportional to 5,994.42, 8,271.78 and 3,341.78 is: 4,611.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,994.42 : 8,271.78 = 3,341.78 : x
  2. Step 2: Convert to fraction form
    5,994.42/8,271.78 = 3,341.78/x
  3. Step 3: Cross multiply
    5,994.42x = 8,271.78 × 3,341.78
  4. Step 4: Simplify right side
    5,994.42x = 27,642,468.97
  5. Step 5: Solve for x
    x = 27,642,468.97/5,994.42
  6. Step 6: Final answer
    x = 4,611.37

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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.