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Finding the Fourth Proportional to 4,313.50, 5,952.89 and 2,822.69

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Solution

The fourth proportional to 4,313.50, 5,952.89 and 2,822.69 is: 3,895.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,313.50 : 5,952.89 = 2,822.69 : x
  2. Step 2: Convert to fraction form
    4,313.50/5,952.89 = 2,822.69/x
  3. Step 3: Cross multiply
    4,313.50x = 5,952.89 × 2,822.69
  4. Step 4: Simplify right side
    4,313.50x = 16,803,163.07
  5. Step 5: Solve for x
    x = 16,803,163.07/4,313.50
  6. Step 6: Final answer
    x = 3,895.48

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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.