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Finding the Fourth Proportional to 5,722.24, 8,571.84 and 3,664

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Solution

The fourth proportional to 5,722.24, 8,571.84 and 3,664 is: 5,488.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,722.24 : 8,571.84 = 3,664 : x
  2. Step 2: Convert to fraction form
    5,722.24/8,571.84 = 3,664/x
  3. Step 3: Cross multiply
    5,722.24x = 8,571.84 × 3,664
  4. Step 4: Simplify right side
    5,722.24x = 31,407,221.76
  5. Step 5: Solve for x
    x = 31,407,221.76/5,722.24
  6. Step 6: Final answer
    x = 5,488.62

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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.