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Finding the Fourth Proportional to 5,161.07, 7,122.20 and 2,803.20

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Solution

The fourth proportional to 5,161.07, 7,122.20 and 2,803.20 is: 3,868.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,161.07 : 7,122.20 = 2,803.20 : x
  2. Step 2: Convert to fraction form
    5,161.07/7,122.20 = 2,803.20/x
  3. Step 3: Cross multiply
    5,161.07x = 7,122.20 × 2,803.20
  4. Step 4: Simplify right side
    5,161.07x = 19,964,937.02
  5. Step 5: Solve for x
    x = 19,964,937.02/5,161.07
  6. Step 6: Final answer
    x = 3,868.38

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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.