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Finding the Fourth Proportional to 3,700.82, 5,107.29 and 2,128.92

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Solution

The fourth proportional to 3,700.82, 5,107.29 and 2,128.92 is: 2,938.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,700.82 : 5,107.29 = 2,128.92 : x
  2. Step 2: Convert to fraction form
    3,700.82/5,107.29 = 2,128.92/x
  3. Step 3: Cross multiply
    3,700.82x = 5,107.29 × 2,128.92
  4. Step 4: Simplify right side
    3,700.82x = 10,873,011.83
  5. Step 5: Solve for x
    x = 10,873,011.83/3,700.82
  6. Step 6: Final answer
    x = 2,938.00

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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.