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Finding the Fourth Proportional to 3,249.76, 4,871.76 and 2,483.68

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Solution

The fourth proportional to 3,249.76, 4,871.76 and 2,483.68 is: 3,723.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,249.76 : 4,871.76 = 2,483.68 : x
  2. Step 2: Convert to fraction form
    3,249.76/4,871.76 = 2,483.68/x
  3. Step 3: Cross multiply
    3,249.76x = 4,871.76 × 2,483.68
  4. Step 4: Simplify right side
    3,249.76x = 12,099,892.88
  5. Step 5: Solve for x
    x = 12,099,892.88/3,249.76
  6. Step 6: Final answer
    x = 3,723.32

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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.