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Finding the Fourth Proportional to 4,197.84, 6,288.54 and 3,219.15

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Solution

The fourth proportional to 4,197.84, 6,288.54 and 3,219.15 is: 4,822.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,197.84 : 6,288.54 = 3,219.15 : x
  2. Step 2: Convert to fraction form
    4,197.84/6,288.54 = 3,219.15/x
  3. Step 3: Cross multiply
    4,197.84x = 6,288.54 × 3,219.15
  4. Step 4: Simplify right side
    4,197.84x = 20,243,753.54
  5. Step 5: Solve for x
    x = 20,243,753.54/4,197.84
  6. Step 6: Final answer
    x = 4,822.42

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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.