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Finding the Fourth Proportional to 4,478.38, 6,178.24 and 2,796.86

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Solution

The fourth proportional to 4,478.38, 6,178.24 and 2,796.86 is: 3,858.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,478.38 : 6,178.24 = 2,796.86 : x
  2. Step 2: Convert to fraction form
    4,478.38/6,178.24 = 2,796.86/x
  3. Step 3: Cross multiply
    4,478.38x = 6,178.24 × 2,796.86
  4. Step 4: Simplify right side
    4,478.38x = 17,279,658.34
  5. Step 5: Solve for x
    x = 17,279,658.34/4,478.38
  6. Step 6: Final answer
    x = 3,858.47

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.