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Finding the Fourth Proportional to 3,643.62, 5,462.19 and 1,334.58

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Solution

The fourth proportional to 3,643.62, 5,462.19 and 1,334.58 is: 2,000.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,643.62 : 5,462.19 = 1,334.58 : x
  2. Step 2: Convert to fraction form
    3,643.62/5,462.19 = 1,334.58/x
  3. Step 3: Cross multiply
    3,643.62x = 5,462.19 × 1,334.58
  4. Step 4: Simplify right side
    3,643.62x = 7,289,729.53
  5. Step 5: Solve for x
    x = 7,289,729.53/3,643.62
  6. Step 6: Final answer
    x = 2,000.68

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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.