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Finding the Fourth Proportional to 3,443.96, 5,166.33 and 1,364.14

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Solution

The fourth proportional to 3,443.96, 5,166.33 and 1,364.14 is: 2,046.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,443.96 : 5,166.33 = 1,364.14 : x
  2. Step 2: Convert to fraction form
    3,443.96/5,166.33 = 1,364.14/x
  3. Step 3: Cross multiply
    3,443.96x = 5,166.33 × 1,364.14
  4. Step 4: Simplify right side
    3,443.96x = 7,047,606.42
  5. Step 5: Solve for x
    x = 7,047,606.42/3,443.96
  6. Step 6: Final answer
    x = 2,046.37

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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.