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Finding the Fourth Proportional to 4,697.82, 7,044.66 and 2,233.34

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Solution

The fourth proportional to 4,697.82, 7,044.66 and 2,233.34 is: 3,349.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,697.82 : 7,044.66 = 2,233.34 : x
  2. Step 2: Convert to fraction form
    4,697.82/7,044.66 = 2,233.34/x
  3. Step 3: Cross multiply
    4,697.82x = 7,044.66 × 2,233.34
  4. Step 4: Simplify right side
    4,697.82x = 15,733,120.96
  5. Step 5: Solve for x
    x = 15,733,120.96/4,697.82
  6. Step 6: Final answer
    x = 3,349.03

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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.