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Finding the Fourth Proportional to 4,372.72, 6,533.50 and 4,219.64

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Solution

The fourth proportional to 4,372.72, 6,533.50 and 4,219.64 is: 6,304.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,372.72 : 6,533.50 = 4,219.64 : x
  2. Step 2: Convert to fraction form
    4,372.72/6,533.50 = 4,219.64/x
  3. Step 3: Cross multiply
    4,372.72x = 6,533.50 × 4,219.64
  4. Step 4: Simplify right side
    4,372.72x = 27,569,017.94
  5. Step 5: Solve for x
    x = 27,569,017.94/4,372.72
  6. Step 6: Final answer
    x = 6,304.78

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.