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Finding the Fourth Proportional to 6,358.52, 8,774.74 and 3,874.52

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Solution

The fourth proportional to 6,358.52, 8,774.74 and 3,874.52 is: 5,346.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,358.52 : 8,774.74 = 3,874.52 : x
  2. Step 2: Convert to fraction form
    6,358.52/8,774.74 = 3,874.52/x
  3. Step 3: Cross multiply
    6,358.52x = 8,774.74 × 3,874.52
  4. Step 4: Simplify right side
    6,358.52x = 33,997,905.62
  5. Step 5: Solve for x
    x = 33,997,905.62/6,358.52
  6. Step 6: Final answer
    x = 5,346.83

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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.