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Finding the Fourth Proportional to 5,776.50, 8,669.61 and 2,313.75

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Solution

The fourth proportional to 5,776.50, 8,669.61 and 2,313.75 is: 3,472.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,776.50 : 8,669.61 = 2,313.75 : x
  2. Step 2: Convert to fraction form
    5,776.50/8,669.61 = 2,313.75/x
  3. Step 3: Cross multiply
    5,776.50x = 8,669.61 × 2,313.75
  4. Step 4: Simplify right side
    5,776.50x = 20,059,310.14
  5. Step 5: Solve for x
    x = 20,059,310.14/5,776.50
  6. Step 6: Final answer
    x = 3,472.57

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.