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Finding the Fourth Proportional to 4,699.22, 7,049.84 and 2,922.48

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Solution

The fourth proportional to 4,699.22, 7,049.84 and 2,922.48 is: 4,384.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,699.22 : 7,049.84 = 2,922.48 : x
  2. Step 2: Convert to fraction form
    4,699.22/7,049.84 = 2,922.48/x
  3. Step 3: Cross multiply
    4,699.22x = 7,049.84 × 2,922.48
  4. Step 4: Simplify right side
    4,699.22x = 20,603,001.79
  5. Step 5: Solve for x
    x = 20,603,001.79/4,699.22
  6. Step 6: Final answer
    x = 4,384.35

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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.