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Finding the Fourth Proportional to 3,546.97, 5,320.15 and 1,465.67

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Solution

The fourth proportional to 3,546.97, 5,320.15 and 1,465.67 is: 2,198.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,546.97 : 5,320.15 = 1,465.67 : x
  2. Step 2: Convert to fraction form
    3,546.97/5,320.15 = 1,465.67/x
  3. Step 3: Cross multiply
    3,546.97x = 5,320.15 × 1,465.67
  4. Step 4: Simplify right side
    3,546.97x = 7,797,593.89
  5. Step 5: Solve for x
    x = 7,797,593.89/3,546.97
  6. Step 6: Final answer
    x = 2,198.38

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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.