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Finding the Fourth Proportional to 5,006.66, 6,909.22 and 2,738.01

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Solution

The fourth proportional to 5,006.66, 6,909.22 and 2,738.01 is: 3,778.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,006.66 : 6,909.22 = 2,738.01 : x
  2. Step 2: Convert to fraction form
    5,006.66/6,909.22 = 2,738.01/x
  3. Step 3: Cross multiply
    5,006.66x = 6,909.22 × 2,738.01
  4. Step 4: Simplify right side
    5,006.66x = 18,917,513.45
  5. Step 5: Solve for x
    x = 18,917,513.45/5,006.66
  6. Step 6: Final answer
    x = 3,778.47

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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.