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Finding the Fourth Proportional to 5,249.79, 7,874.69 and 4,929.03

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Solution

The fourth proportional to 5,249.79, 7,874.69 and 4,929.03 is: 7,393.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,249.79 : 7,874.69 = 4,929.03 : x
  2. Step 2: Convert to fraction form
    5,249.79/7,874.69 = 4,929.03/x
  3. Step 3: Cross multiply
    5,249.79x = 7,874.69 × 4,929.03
  4. Step 4: Simplify right side
    5,249.79x = 38,814,558.61
  5. Step 5: Solve for x
    x = 38,814,558.61/5,249.79
  6. Step 6: Final answer
    x = 7,393.55

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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.