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Finding the Fourth Proportional to 3,776.54, 5,233.64 and 3,723.66

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Solution

The fourth proportional to 3,776.54, 5,233.64 and 3,723.66 is: 5,160.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,776.54 : 5,233.64 = 3,723.66 : x
  2. Step 2: Convert to fraction form
    3,776.54/5,233.64 = 3,723.66/x
  3. Step 3: Cross multiply
    3,776.54x = 5,233.64 × 3,723.66
  4. Step 4: Simplify right side
    3,776.54x = 19,488,277.30
  5. Step 5: Solve for x
    x = 19,488,277.30/3,776.54
  6. Step 6: Final answer
    x = 5,160.36

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.