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Finding the Fourth Proportional to 3,700.99, 5,107.49 and 2,129.05

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Solution

The fourth proportional to 3,700.99, 5,107.49 and 2,129.05 is: 2,938.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,700.99 : 5,107.49 = 2,129.05 : x
  2. Step 2: Convert to fraction form
    3,700.99/5,107.49 = 2,129.05/x
  3. Step 3: Cross multiply
    3,700.99x = 5,107.49 × 2,129.05
  4. Step 4: Simplify right side
    3,700.99x = 10,874,101.58
  5. Step 5: Solve for x
    x = 10,874,101.58/3,700.99
  6. Step 6: Final answer
    x = 2,938.16

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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.