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Finding the Fourth Proportional to 5,006.38, 6,908.80 and 2,798.38

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Solution

The fourth proportional to 5,006.38, 6,908.80 and 2,798.38 is: 3,861.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,006.38 : 6,908.80 = 2,798.38 : x
  2. Step 2: Convert to fraction form
    5,006.38/6,908.80 = 2,798.38/x
  3. Step 3: Cross multiply
    5,006.38x = 6,908.80 × 2,798.38
  4. Step 4: Simplify right side
    5,006.38x = 19,333,447.74
  5. Step 5: Solve for x
    x = 19,333,447.74/5,006.38
  6. Step 6: Final answer
    x = 3,861.76

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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.