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Finding the Fourth Proportional to 4,297.84, 6,442.03 and 2,217.96

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Solution

The fourth proportional to 4,297.84, 6,442.03 and 2,217.96 is: 3,324.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,297.84 : 6,442.03 = 2,217.96 : x
  2. Step 2: Convert to fraction form
    4,297.84/6,442.03 = 2,217.96/x
  3. Step 3: Cross multiply
    4,297.84x = 6,442.03 × 2,217.96
  4. Step 4: Simplify right side
    4,297.84x = 14,288,164.86
  5. Step 5: Solve for x
    x = 14,288,164.86/4,297.84
  6. Step 6: Final answer
    x = 3,324.50

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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.