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Finding the Fourth Proportional to 3,664.60, 5,497.04 and 1,067.54

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Solution

The fourth proportional to 3,664.60, 5,497.04 and 1,067.54 is: 1,601.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,664.60 : 5,497.04 = 1,067.54 : x
  2. Step 2: Convert to fraction form
    3,664.60/5,497.04 = 1,067.54/x
  3. Step 3: Cross multiply
    3,664.60x = 5,497.04 × 1,067.54
  4. Step 4: Simplify right side
    3,664.60x = 5,868,285.27
  5. Step 5: Solve for x
    x = 5,868,285.27/3,664.60
  6. Step 6: Final answer
    x = 1,601.35

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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.