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Finding the Fourth Proportional to 5,669.28, 8,501.22 and 2,381.76

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Solution

The fourth proportional to 5,669.28, 8,501.22 and 2,381.76 is: 3,571.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,669.28 : 8,501.22 = 2,381.76 : x
  2. Step 2: Convert to fraction form
    5,669.28/8,501.22 = 2,381.76/x
  3. Step 3: Cross multiply
    5,669.28x = 8,501.22 × 2,381.76
  4. Step 4: Simplify right side
    5,669.28x = 20,247,865.75
  5. Step 5: Solve for x
    x = 20,247,865.75/5,669.28
  6. Step 6: Final answer
    x = 3,571.51

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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.