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Finding the Fourth Proportional to 4,220.34, 6,332.22 and 2,031

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Solution

The fourth proportional to 4,220.34, 6,332.22 and 2,031 is: 3,047.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,220.34 : 6,332.22 = 2,031 : x
  2. Step 2: Convert to fraction form
    4,220.34/6,332.22 = 2,031/x
  3. Step 3: Cross multiply
    4,220.34x = 6,332.22 × 2,031
  4. Step 4: Simplify right side
    4,220.34x = 12,860,738.82
  5. Step 5: Solve for x
    x = 12,860,738.82/4,220.34
  6. Step 6: Final answer
    x = 3,047.32

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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.