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Finding the Fourth Proportional to 5,266.50, 7,267.86 and 2,908.86

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Solution

The fourth proportional to 5,266.50, 7,267.86 and 2,908.86 is: 4,014.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,266.50 : 7,267.86 = 2,908.86 : x
  2. Step 2: Convert to fraction form
    5,266.50/7,267.86 = 2,908.86/x
  3. Step 3: Cross multiply
    5,266.50x = 7,267.86 × 2,908.86
  4. Step 4: Simplify right side
    5,266.50x = 21,141,187.24
  5. Step 5: Solve for x
    x = 21,141,187.24/5,266.50
  6. Step 6: Final answer
    x = 4,014.28

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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.