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Finding the Fourth Proportional to 5,216.02, 7,824.75 and 1,754.26

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Solution

The fourth proportional to 5,216.02, 7,824.75 and 1,754.26 is: 2,631.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,216.02 : 7,824.75 = 1,754.26 : x
  2. Step 2: Convert to fraction form
    5,216.02/7,824.75 = 1,754.26/x
  3. Step 3: Cross multiply
    5,216.02x = 7,824.75 × 1,754.26
  4. Step 4: Simplify right side
    5,216.02x = 13,726,645.94
  5. Step 5: Solve for x
    x = 13,726,645.94/5,216.02
  6. Step 6: Final answer
    x = 2,631.63

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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.