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Finding the Fourth Proportional to 5,859.84, 8,086.17 and 3,342.06

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Solution

The fourth proportional to 5,859.84, 8,086.17 and 3,342.06 is: 4,611.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,859.84 : 8,086.17 = 3,342.06 : x
  2. Step 2: Convert to fraction form
    5,859.84/8,086.17 = 3,342.06/x
  3. Step 3: Cross multiply
    5,859.84x = 8,086.17 × 3,342.06
  4. Step 4: Simplify right side
    5,859.84x = 27,024,424.88
  5. Step 5: Solve for x
    x = 27,024,424.88/5,859.84
  6. Step 6: Final answer
    x = 4,611.80

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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.