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Finding the Fourth Proportional to 4,174.74, 5,773.68 and 3,664.44

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Solution

The fourth proportional to 4,174.74, 5,773.68 and 3,664.44 is: 5,067.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,174.74 : 5,773.68 = 3,664.44 : x
  2. Step 2: Convert to fraction form
    4,174.74/5,773.68 = 3,664.44/x
  3. Step 3: Cross multiply
    4,174.74x = 5,773.68 × 3,664.44
  4. Step 4: Simplify right side
    4,174.74x = 21,157,303.94
  5. Step 5: Solve for x
    x = 21,157,303.94/4,174.74
  6. Step 6: Final answer
    x = 5,067.93

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.