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Finding the Fourth Proportional to 3,664.98, 5,496.36 and 1,324.71

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Solution

The fourth proportional to 3,664.98, 5,496.36 and 1,324.71 is: 1,986.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,664.98 : 5,496.36 = 1,324.71 : x
  2. Step 2: Convert to fraction form
    3,664.98/5,496.36 = 1,324.71/x
  3. Step 3: Cross multiply
    3,664.98x = 5,496.36 × 1,324.71
  4. Step 4: Simplify right side
    3,664.98x = 7,281,083.06
  5. Step 5: Solve for x
    x = 7,281,083.06/3,664.98
  6. Step 6: Final answer
    x = 1,986.66

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.