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Finding the Fourth Proportional to 3,698.93, 5,104.67 and 2,127.02

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Solution

The fourth proportional to 3,698.93, 5,104.67 and 2,127.02 is: 2,935.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,698.93 : 5,104.67 = 2,127.02 : x
  2. Step 2: Convert to fraction form
    3,698.93/5,104.67 = 2,127.02/x
  3. Step 3: Cross multiply
    3,698.93x = 5,104.67 × 2,127.02
  4. Step 4: Simplify right side
    3,698.93x = 10,857,763.03
  5. Step 5: Solve for x
    x = 10,857,763.03/3,698.93
  6. Step 6: Final answer
    x = 2,935.38

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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.