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Finding the Fourth Proportional to 3,771.56, 5,658.15 and 1,463.06

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Solution

The fourth proportional to 3,771.56, 5,658.15 and 1,463.06 is: 2,194.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,771.56 : 5,658.15 = 1,463.06 : x
  2. Step 2: Convert to fraction form
    3,771.56/5,658.15 = 1,463.06/x
  3. Step 3: Cross multiply
    3,771.56x = 5,658.15 × 1,463.06
  4. Step 4: Simplify right side
    3,771.56x = 8,278,232.57
  5. Step 5: Solve for x
    x = 8,278,232.57/3,771.56
  6. Step 6: Final answer
    x = 2,194.91

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.