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Finding the Fourth Proportional to 3,937.59, 5,904.62 and 1,163.30

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Solution

The fourth proportional to 3,937.59, 5,904.62 and 1,163.30 is: 1,744.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,937.59 : 5,904.62 = 1,163.30 : x
  2. Step 2: Convert to fraction form
    3,937.59/5,904.62 = 1,163.30/x
  3. Step 3: Cross multiply
    3,937.59x = 5,904.62 × 1,163.30
  4. Step 4: Simplify right side
    3,937.59x = 6,868,809.11
  5. Step 5: Solve for x
    x = 6,868,809.11/3,937.59
  6. Step 6: Final answer
    x = 1,744.42

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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.