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Finding the Fourth Proportional to 6,842.22, 10,263.22 and 3,721.49

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Solution

The fourth proportional to 6,842.22, 10,263.22 and 3,721.49 is: 5,582.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,842.22 : 10,263.22 = 3,721.49 : x
  2. Step 2: Convert to fraction form
    6,842.22/10,263.22 = 3,721.49/x
  3. Step 3: Cross multiply
    6,842.22x = 10,263.22 × 3,721.49
  4. Step 4: Simplify right side
    6,842.22x = 38,194,400.67
  5. Step 5: Solve for x
    x = 38,194,400.67/6,842.22
  6. Step 6: Final answer
    x = 5,582.17

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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.