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Finding the Fourth Proportional to 6,057.38, 8,365.53 and 4,173.86

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Solution

The fourth proportional to 6,057.38, 8,365.53 and 4,173.86 is: 5,764.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,057.38 : 8,365.53 = 4,173.86 : x
  2. Step 2: Convert to fraction form
    6,057.38/8,365.53 = 4,173.86/x
  3. Step 3: Cross multiply
    6,057.38x = 8,365.53 × 4,173.86
  4. Step 4: Simplify right side
    6,057.38x = 34,916,551.05
  5. Step 5: Solve for x
    x = 34,916,551.05/6,057.38
  6. Step 6: Final answer
    x = 5,764.30

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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.