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Finding the Fourth Proportional to 5,204.37, 7,182.02 and 2,814.34

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Solution

The fourth proportional to 5,204.37, 7,182.02 and 2,814.34 is: 3,883.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,204.37 : 7,182.02 = 2,814.34 : x
  2. Step 2: Convert to fraction form
    5,204.37/7,182.02 = 2,814.34/x
  3. Step 3: Cross multiply
    5,204.37x = 7,182.02 × 2,814.34
  4. Step 4: Simplify right side
    5,204.37x = 20,212,646.17
  5. Step 5: Solve for x
    x = 20,212,646.17/5,204.37
  6. Step 6: Final answer
    x = 3,883.78

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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.