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Finding the Fourth Proportional to 3,664.64, 5,497.02 and 1,324.82

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Solution

The fourth proportional to 3,664.64, 5,497.02 and 1,324.82 is: 1,987.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,664.64 : 5,497.02 = 1,324.82 : x
  2. Step 2: Convert to fraction form
    3,664.64/5,497.02 = 1,324.82/x
  3. Step 3: Cross multiply
    3,664.64x = 5,497.02 × 1,324.82
  4. Step 4: Simplify right side
    3,664.64x = 7,282,562.04
  5. Step 5: Solve for x
    x = 7,282,562.04/3,664.64
  6. Step 6: Final answer
    x = 1,987.25

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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.