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Finding the Fourth Proportional to 3,731.66, 5,150.02 and 2,053.31

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Solution

The fourth proportional to 3,731.66, 5,150.02 and 2,053.31 is: 2,833.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,731.66 : 5,150.02 = 2,053.31 : x
  2. Step 2: Convert to fraction form
    3,731.66/5,150.02 = 2,053.31/x
  3. Step 3: Cross multiply
    3,731.66x = 5,150.02 × 2,053.31
  4. Step 4: Simplify right side
    3,731.66x = 10,574,587.57
  5. Step 5: Solve for x
    x = 10,574,587.57/3,731.66
  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.