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Finding the Fourth Proportional to 5,216.06, 7,824.16 and 1,753.31

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Solution

The fourth proportional to 5,216.06, 7,824.16 and 1,753.31 is: 2,629.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,216.06 : 7,824.16 = 1,753.31 : x
  2. Step 2: Convert to fraction form
    5,216.06/7,824.16 = 1,753.31/x
  3. Step 3: Cross multiply
    5,216.06x = 7,824.16 × 1,753.31
  4. Step 4: Simplify right side
    5,216.06x = 13,718,199.72
  5. Step 5: Solve for x
    x = 13,718,199.72/5,216.06
  6. Step 6: Final answer
    x = 2,629.99

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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.