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Finding the Fourth Proportional to 4,991.76, 6,888.24 and 2,896.02

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Solution

The fourth proportional to 4,991.76, 6,888.24 and 2,896.02 is: 3,996.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,991.76 : 6,888.24 = 2,896.02 : x
  2. Step 2: Convert to fraction form
    4,991.76/6,888.24 = 2,896.02/x
  3. Step 3: Cross multiply
    4,991.76x = 6,888.24 × 2,896.02
  4. Step 4: Simplify right side
    4,991.76x = 19,948,480.80
  5. Step 5: Solve for x
    x = 19,948,480.80/4,991.76
  6. Step 6: Final answer
    x = 3,996.28

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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.