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Finding the Fourth Proportional to 4,402.80, 6,578.40 and 4,249.68

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Solution

The fourth proportional to 4,402.80, 6,578.40 and 4,249.68 is: 6,349.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,402.80 : 6,578.40 = 4,249.68 : x
  2. Step 2: Convert to fraction form
    4,402.80/6,578.40 = 4,249.68/x
  3. Step 3: Cross multiply
    4,402.80x = 6,578.40 × 4,249.68
  4. Step 4: Simplify right side
    4,402.80x = 27,956,094.91
  5. Step 5: Solve for x
    x = 27,956,094.91/4,402.80
  6. Step 6: Final answer
    x = 6,349.62

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.