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Finding the Fourth Proportional to 5,648.36, 8,474.88 and 2,362.16

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Solution

The fourth proportional to 5,648.36, 8,474.88 and 2,362.16 is: 3,544.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,648.36 : 8,474.88 = 2,362.16 : x
  2. Step 2: Convert to fraction form
    5,648.36/8,474.88 = 2,362.16/x
  3. Step 3: Cross multiply
    5,648.36x = 8,474.88 × 2,362.16
  4. Step 4: Simplify right side
    5,648.36x = 20,019,022.54
  5. Step 5: Solve for x
    x = 20,019,022.54/5,648.36
  6. Step 6: Final answer
    x = 3,544.22

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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.