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Finding the Fourth Proportional to 3,391.30, 5,089.11 and 1,443.48

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Solution

The fourth proportional to 3,391.30, 5,089.11 and 1,443.48 is: 2,166.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,391.30 : 5,089.11 = 1,443.48 : x
  2. Step 2: Convert to fraction form
    3,391.30/5,089.11 = 1,443.48/x
  3. Step 3: Cross multiply
    3,391.30x = 5,089.11 × 1,443.48
  4. Step 4: Simplify right side
    3,391.30x = 7,346,028.50
  5. Step 5: Solve for x
    x = 7,346,028.50/3,391.30
  6. Step 6: Final answer
    x = 2,166.14

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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.