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Finding the Fourth Proportional to 5,971.70, 8,939.03 and 5,085.96

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Solution

The fourth proportional to 5,971.70, 8,939.03 and 5,085.96 is: 7,613.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,971.70 : 8,939.03 = 5,085.96 : x
  2. Step 2: Convert to fraction form
    5,971.70/8,939.03 = 5,085.96/x
  3. Step 3: Cross multiply
    5,971.70x = 8,939.03 × 5,085.96
  4. Step 4: Simplify right side
    5,971.70x = 45,463,523.59
  5. Step 5: Solve for x
    x = 45,463,523.59/5,971.70
  6. Step 6: Final answer
    x = 7,613.17

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.