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Finding the Fourth Proportional to 4,989.72, 6,876.72 and 3,998.28

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Solution

The fourth proportional to 4,989.72, 6,876.72 and 3,998.28 is: 5,510.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,989.72 : 6,876.72 = 3,998.28 : x
  2. Step 2: Convert to fraction form
    4,989.72/6,876.72 = 3,998.28/x
  3. Step 3: Cross multiply
    4,989.72x = 6,876.72 × 3,998.28
  4. Step 4: Simplify right side
    4,989.72x = 27,495,052.04
  5. Step 5: Solve for x
    x = 27,495,052.04/4,989.72
  6. Step 6: Final answer
    x = 5,510.34

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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.