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Finding the Fourth Proportional to 3,753.41, 5,613.71 and 3,064.50

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Solution

The fourth proportional to 3,753.41, 5,613.71 and 3,064.50 is: 4,583.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,753.41 : 5,613.71 = 3,064.50 : x
  2. Step 2: Convert to fraction form
    3,753.41/5,613.71 = 3,064.50/x
  3. Step 3: Cross multiply
    3,753.41x = 5,613.71 × 3,064.50
  4. Step 4: Simplify right side
    3,753.41x = 17,203,198.97
  5. Step 5: Solve for x
    x = 17,203,198.97/3,753.41
  6. Step 6: Final answer
    x = 4,583.36

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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.