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Finding the Fourth Proportional to 5,974, 8,244.16 and 3,616.16

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Solution

The fourth proportional to 5,974, 8,244.16 and 3,616.16 is: 4,990.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,974 : 8,244.16 = 3,616.16 : x
  2. Step 2: Convert to fraction form
    5,974/8,244.16 = 3,616.16/x
  3. Step 3: Cross multiply
    5,974x = 8,244.16 × 3,616.16
  4. Step 4: Simplify right side
    5,974x = 29,812,201.63
  5. Step 5: Solve for x
    x = 29,812,201.63/5,974
  6. Step 6: Final answer
    x = 4,990.33

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.