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Finding the Fourth Proportional to 3,751.53, 5,627.04 and 1,286.31

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Solution

The fourth proportional to 3,751.53, 5,627.04 and 1,286.31 is: 1,929.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,751.53 : 5,627.04 = 1,286.31 : x
  2. Step 2: Convert to fraction form
    3,751.53/5,627.04 = 1,286.31/x
  3. Step 3: Cross multiply
    3,751.53x = 5,627.04 × 1,286.31
  4. Step 4: Simplify right side
    3,751.53x = 7,238,117.82
  5. Step 5: Solve for x
    x = 7,238,117.82/3,751.53
  6. Step 6: Final answer
    x = 1,929.38

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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.