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Finding the Fourth Proportional to 5,202.10, 7,793.10 and 4,031.44

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Solution

The fourth proportional to 5,202.10, 7,793.10 and 4,031.44 is: 6,039.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,202.10 : 7,793.10 = 4,031.44 : x
  2. Step 2: Convert to fraction form
    5,202.10/7,793.10 = 4,031.44/x
  3. Step 3: Cross multiply
    5,202.10x = 7,793.10 × 4,031.44
  4. Step 4: Simplify right side
    5,202.10x = 31,417,415.06
  5. Step 5: Solve for x
    x = 31,417,415.06/5,202.10
  6. Step 6: Final answer
    x = 6,039.37

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.