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Finding the Fourth Proportional to 3,838.82, 5,295.38 and 2,657.84

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Solution

The fourth proportional to 3,838.82, 5,295.38 and 2,657.84 is: 3,666.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,838.82 : 5,295.38 = 2,657.84 : x
  2. Step 2: Convert to fraction form
    3,838.82/5,295.38 = 2,657.84/x
  3. Step 3: Cross multiply
    3,838.82x = 5,295.38 × 2,657.84
  4. Step 4: Simplify right side
    3,838.82x = 14,074,272.78
  5. Step 5: Solve for x
    x = 14,074,272.78/3,838.82
  6. Step 6: Final answer
    x = 3,666.30

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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.