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Finding the Fourth Proportional to 5,971.57, 8,954.13 and 4,581.47

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Solution

The fourth proportional to 5,971.57, 8,954.13 and 4,581.47 is: 6,869.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,971.57 : 8,954.13 = 4,581.47 : x
  2. Step 2: Convert to fraction form
    5,971.57/8,954.13 = 4,581.47/x
  3. Step 3: Cross multiply
    5,971.57x = 8,954.13 × 4,581.47
  4. Step 4: Simplify right side
    5,971.57x = 41,023,077.97
  5. Step 5: Solve for x
    x = 41,023,077.97/5,971.57
  6. Step 6: Final answer
    x = 6,869.73

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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.