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Finding the Fourth Proportional to 5,270.22, 7,270.56 and 3,031.56

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Solution

The fourth proportional to 5,270.22, 7,270.56 and 3,031.56 is: 4,182.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,270.22 : 7,270.56 = 3,031.56 : x
  2. Step 2: Convert to fraction form
    5,270.22/7,270.56 = 3,031.56/x
  3. Step 3: Cross multiply
    5,270.22x = 7,270.56 × 3,031.56
  4. Step 4: Simplify right side
    5,270.22x = 22,041,138.87
  5. Step 5: Solve for x
    x = 22,041,138.87/5,270.22
  6. Step 6: Final answer
    x = 4,182.20

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1.5x scale

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.