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Finding the Fourth Proportional to 5,786.40, 7,984.66 and 3,233.69

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Solution

The fourth proportional to 5,786.40, 7,984.66 and 3,233.69 is: 4,462.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,786.40 : 7,984.66 = 3,233.69 : x
  2. Step 2: Convert to fraction form
    5,786.40/7,984.66 = 3,233.69/x
  3. Step 3: Cross multiply
    5,786.40x = 7,984.66 × 3,233.69
  4. Step 4: Simplify right side
    5,786.40x = 25,819,859.10
  5. Step 5: Solve for x
    x = 25,819,859.10/5,786.40
  6. Step 6: Final answer
    x = 4,462.16

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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.