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Finding the Fourth Proportional to 4,381.48, 6,541.01 and 4,227.70

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Solution

The fourth proportional to 4,381.48, 6,541.01 and 4,227.70 is: 6,311.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,381.48 : 6,541.01 = 4,227.70 : x
  2. Step 2: Convert to fraction form
    4,381.48/6,541.01 = 4,227.70/x
  3. Step 3: Cross multiply
    4,381.48x = 6,541.01 × 4,227.70
  4. Step 4: Simplify right side
    4,381.48x = 27,653,390.49
  5. Step 5: Solve for x
    x = 27,653,390.49/4,381.48
  6. Step 6: Final answer
    x = 6,311.43

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Why These Related Problems?

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