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Finding the Fourth Proportional to 3,798.52, 5,688.34 and 3,249.88

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Solution

The fourth proportional to 3,798.52, 5,688.34 and 3,249.88 is: 4,866.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,798.52 : 5,688.34 = 3,249.88 : x
  2. Step 2: Convert to fraction form
    3,798.52/5,688.34 = 3,249.88/x
  3. Step 3: Cross multiply
    3,798.52x = 5,688.34 × 3,249.88
  4. Step 4: Simplify right side
    3,798.52x = 18,486,422.40
  5. Step 5: Solve for x
    x = 18,486,422.40/3,798.52
  6. Step 6: Final answer
    x = 4,866.74

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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.