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Finding the Fourth Proportional to 3,443.45, 5,165.27 and 846.38

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Solution

The fourth proportional to 3,443.45, 5,165.27 and 846.38 is: 1,269.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,443.45 : 5,165.27 = 846.38 : x
  2. Step 2: Convert to fraction form
    3,443.45/5,165.27 = 846.38/x
  3. Step 3: Cross multiply
    3,443.45x = 5,165.27 × 846.38
  4. Step 4: Simplify right side
    3,443.45x = 4,371,751.16
  5. Step 5: Solve for x
    x = 4,371,751.16/3,443.45
  6. Step 6: Final answer
    x = 1,269.59

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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.