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Finding the Fourth Proportional to 5,066.28, 6,991.11 and 2,970

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Solution

The fourth proportional to 5,066.28, 6,991.11 and 2,970 is: 4,098.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,066.28 : 6,991.11 = 2,970 : x
  2. Step 2: Convert to fraction form
    5,066.28/6,991.11 = 2,970/x
  3. Step 3: Cross multiply
    5,066.28x = 6,991.11 × 2,970
  4. Step 4: Simplify right side
    5,066.28x = 20,763,596.70
  5. Step 5: Solve for x
    x = 20,763,596.70/5,066.28
  6. Step 6: Final answer
    x = 4,098.39

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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.