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Finding the Fourth Proportional to 5,216.09, 7,825.31 and 1,753.25

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Solution

The fourth proportional to 5,216.09, 7,825.31 and 1,753.25 is: 2,630.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,216.09 : 7,825.31 = 1,753.25 : x
  2. Step 2: Convert to fraction form
    5,216.09/7,825.31 = 1,753.25/x
  3. Step 3: Cross multiply
    5,216.09x = 7,825.31 × 1,753.25
  4. Step 4: Simplify right side
    5,216.09x = 13,719,724.76
  5. Step 5: Solve for x
    x = 13,719,724.76/5,216.09
  6. Step 6: Final answer
    x = 2,630.27

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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.