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Finding the Fourth Proportional to 5,266.70, 7,268.10 and 2,908.52

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Solution

The fourth proportional to 5,266.70, 7,268.10 and 2,908.52 is: 4,013.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,266.70 : 7,268.10 = 2,908.52 : x
  2. Step 2: Convert to fraction form
    5,266.70/7,268.10 = 2,908.52/x
  3. Step 3: Cross multiply
    5,266.70x = 7,268.10 × 2,908.52
  4. Step 4: Simplify right side
    5,266.70x = 21,139,414.21
  5. Step 5: Solve for x
    x = 21,139,414.21/5,266.70
  6. Step 6: Final answer
    x = 4,013.79

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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.