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Finding the Fourth Proportional to 3,216.24, 4,821.28 and 1,571.90

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Solution

The fourth proportional to 3,216.24, 4,821.28 and 1,571.90 is: 2,356.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,216.24 : 4,821.28 = 1,571.90 : x
  2. Step 2: Convert to fraction form
    3,216.24/4,821.28 = 1,571.90/x
  3. Step 3: Cross multiply
    3,216.24x = 4,821.28 × 1,571.90
  4. Step 4: Simplify right side
    3,216.24x = 7,578,570.03
  5. Step 5: Solve for x
    x = 7,578,570.03/3,216.24
  6. Step 6: Final answer
    x = 2,356.34

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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.