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Finding the Fourth Proportional to 5,775.84, 8,667 and 2,313.36

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Solution

The fourth proportional to 5,775.84, 8,667 and 2,313.36 is: 3,471.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,775.84 : 8,667 = 2,313.36 : x
  2. Step 2: Convert to fraction form
    5,775.84/8,667 = 2,313.36/x
  3. Step 3: Cross multiply
    5,775.84x = 8,667 × 2,313.36
  4. Step 4: Simplify right side
    5,775.84x = 20,049,891.12
  5. Step 5: Solve for x
    x = 20,049,891.12/5,775.84
  6. Step 6: Final answer
    x = 3,471.34

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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.