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Finding the Fourth Proportional to 5,845.30, 8,052.38 and 5,003.30

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Solution

The fourth proportional to 5,845.30, 8,052.38 and 5,003.30 is: 6,892.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,845.30 : 8,052.38 = 5,003.30 : x
  2. Step 2: Convert to fraction form
    5,845.30/8,052.38 = 5,003.30/x
  3. Step 3: Cross multiply
    5,845.30x = 8,052.38 × 5,003.30
  4. Step 4: Simplify right side
    5,845.30x = 40,288,472.85
  5. Step 5: Solve for x
    x = 40,288,472.85/5,845.30
  6. Step 6: Final answer
    x = 6,892.46

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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.