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Finding the Fourth Proportional to 5,266.52, 7,267.84 and 2,908.66

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Solution

The fourth proportional to 5,266.52, 7,267.84 and 2,908.66 is: 4,013.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,266.52 : 7,267.84 = 2,908.66 : x
  2. Step 2: Convert to fraction form
    5,266.52/7,267.84 = 2,908.66/x
  3. Step 3: Cross multiply
    5,266.52x = 7,267.84 × 2,908.66
  4. Step 4: Simplify right side
    5,266.52x = 21,139,675.49
  5. Step 5: Solve for x
    x = 21,139,675.49/5,266.52
  6. Step 6: Final answer
    x = 4,013.97

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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.