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Finding the Fourth Proportional to 5,216.95, 7,825.44 and 1,321.36

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Solution

The fourth proportional to 5,216.95, 7,825.44 and 1,321.36 is: 1,982.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,216.95 : 7,825.44 = 1,321.36 : x
  2. Step 2: Convert to fraction form
    5,216.95/7,825.44 = 1,321.36/x
  3. Step 3: Cross multiply
    5,216.95x = 7,825.44 × 1,321.36
  4. Step 4: Simplify right side
    5,216.95x = 10,340,223.40
  5. Step 5: Solve for x
    x = 10,340,223.40/5,216.95
  6. Step 6: Final answer
    x = 1,982.04

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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.