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Finding the Fourth Proportional to 4,200.08, 6,349.82 and 4,165.52

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Solution

The fourth proportional to 4,200.08, 6,349.82 and 4,165.52 is: 6,297.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,200.08 : 6,349.82 = 4,165.52 : x
  2. Step 2: Convert to fraction form
    4,200.08/6,349.82 = 4,165.52/x
  3. Step 3: Cross multiply
    4,200.08x = 6,349.82 × 4,165.52
  4. Step 4: Simplify right side
    4,200.08x = 26,450,249.63
  5. Step 5: Solve for x
    x = 26,450,249.63/4,200.08
  6. Step 6: Final answer
    x = 6,297.57

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.