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Finding the Fourth Proportional to 3,443.29, 5,164.16 and 1,686.54

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Solution

The fourth proportional to 3,443.29, 5,164.16 and 1,686.54 is: 2,529.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,443.29 : 5,164.16 = 1,686.54 : x
  2. Step 2: Convert to fraction form
    3,443.29/5,164.16 = 1,686.54/x
  3. Step 3: Cross multiply
    3,443.29x = 5,164.16 × 1,686.54
  4. Step 4: Simplify right side
    3,443.29x = 8,709,544.29
  5. Step 5: Solve for x
    x = 8,709,544.29/3,443.29
  6. Step 6: Final answer
    x = 2,529.42

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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.