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Finding the Fourth Proportional to 5,861.84, 8,089.34 and 3,209.22

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Solution

The fourth proportional to 5,861.84, 8,089.34 and 3,209.22 is: 4,428.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,861.84 : 8,089.34 = 3,209.22 : x
  2. Step 2: Convert to fraction form
    5,861.84/8,089.34 = 3,209.22/x
  3. Step 3: Cross multiply
    5,861.84x = 8,089.34 × 3,209.22
  4. Step 4: Simplify right side
    5,861.84x = 25,960,471.71
  5. Step 5: Solve for x
    x = 25,960,471.71/5,861.84
  6. Step 6: Final answer
    x = 4,428.72

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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.