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Finding the Fourth Proportional to 3,703.52, 5,112.08 and 2,132

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Solution

The fourth proportional to 3,703.52, 5,112.08 and 2,132 is: 2,942.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,703.52 : 5,112.08 = 2,132 : x
  2. Step 2: Convert to fraction form
    3,703.52/5,112.08 = 2,132/x
  3. Step 3: Cross multiply
    3,703.52x = 5,112.08 × 2,132
  4. Step 4: Simplify right side
    3,703.52x = 10,898,954.56
  5. Step 5: Solve for x
    x = 10,898,954.56/3,703.52
  6. Step 6: Final answer
    x = 2,942.86

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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.