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Finding the Fourth Proportional to 3,732, 5,150.16 and 2,053.44

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Solution

The fourth proportional to 3,732, 5,150.16 and 2,053.44 is: 2,833.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,732 : 5,150.16 = 2,053.44 : x
  2. Step 2: Convert to fraction form
    3,732/5,150.16 = 2,053.44/x
  3. Step 3: Cross multiply
    3,732x = 5,150.16 × 2,053.44
  4. Step 4: Simplify right side
    3,732x = 10,575,544.55
  5. Step 5: Solve for x
    x = 10,575,544.55/3,732
  6. Step 6: Final answer
    x = 2,833.75

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.