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Finding the Fourth Proportional to 6,581.70, 9,085.90 and 3,893.38

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Solution

The fourth proportional to 6,581.70, 9,085.90 and 3,893.38 is: 5,374.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,581.70 : 9,085.90 = 3,893.38 : x
  2. Step 2: Convert to fraction form
    6,581.70/9,085.90 = 3,893.38/x
  3. Step 3: Cross multiply
    6,581.70x = 9,085.90 × 3,893.38
  4. Step 4: Simplify right side
    6,581.70x = 35,374,861.34
  5. Step 5: Solve for x
    x = 35,374,861.34/6,581.70
  6. Step 6: Final answer
    x = 5,374.73

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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.