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Finding the Fourth Proportional to 5,065.95, 6,991.01 and 2,827.82

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Solution

The fourth proportional to 5,065.95, 6,991.01 and 2,827.82 is: 3,902.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,065.95 : 6,991.01 = 2,827.82 : x
  2. Step 2: Convert to fraction form
    5,065.95/6,991.01 = 2,827.82/x
  3. Step 3: Cross multiply
    5,065.95x = 6,991.01 × 2,827.82
  4. Step 4: Simplify right side
    5,065.95x = 19,769,268.80
  5. Step 5: Solve for x
    x = 19,769,268.80/5,065.95
  6. Step 6: Final answer
    x = 3,902.38

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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.