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Finding the Fourth Proportional to 3,806.98, 5,253.64 and 2,128.39

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Solution

The fourth proportional to 3,806.98, 5,253.64 and 2,128.39 is: 2,937.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,806.98 : 5,253.64 = 2,128.39 : x
  2. Step 2: Convert to fraction form
    3,806.98/5,253.64 = 2,128.39/x
  3. Step 3: Cross multiply
    3,806.98x = 5,253.64 × 2,128.39
  4. Step 4: Simplify right side
    3,806.98x = 11,181,776.38
  5. Step 5: Solve for x
    x = 11,181,776.38/3,806.98
  6. Step 6: Final answer
    x = 2,937.18

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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.