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Finding the Fourth Proportional to 3,216.57, 4,824.24 and 1,571.46

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Solution

The fourth proportional to 3,216.57, 4,824.24 and 1,571.46 is: 2,356.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,216.57 : 4,824.24 = 1,571.46 : x
  2. Step 2: Convert to fraction form
    3,216.57/4,824.24 = 1,571.46/x
  3. Step 3: Cross multiply
    3,216.57x = 4,824.24 × 1,571.46
  4. Step 4: Simplify right side
    3,216.57x = 7,581,100.19
  5. Step 5: Solve for x
    x = 7,581,100.19/3,216.57
  6. Step 6: Final answer
    x = 2,356.89

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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.