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Finding the Fourth Proportional to 5,864.99, 8,093.70 and 3,212.42

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Solution

The fourth proportional to 5,864.99, 8,093.70 and 3,212.42 is: 4,433.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,864.99 : 8,093.70 = 3,212.42 : x
  2. Step 2: Convert to fraction form
    5,864.99/8,093.70 = 3,212.42/x
  3. Step 3: Cross multiply
    5,864.99x = 8,093.70 × 3,212.42
  4. Step 4: Simplify right side
    5,864.99x = 26,000,323.29
  5. Step 5: Solve for x
    x = 26,000,323.29/5,864.99
  6. Step 6: Final answer
    x = 4,433.14

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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.