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Finding the Fourth Proportional to 5,741.67, 8,612.54 and 1,581.90

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Solution

The fourth proportional to 5,741.67, 8,612.54 and 1,581.90 is: 2,372.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,741.67 : 8,612.54 = 1,581.90 : x
  2. Step 2: Convert to fraction form
    5,741.67/8,612.54 = 1,581.90/x
  3. Step 3: Cross multiply
    5,741.67x = 8,612.54 × 1,581.90
  4. Step 4: Simplify right side
    5,741.67x = 13,624,177.03
  5. Step 5: Solve for x
    x = 13,624,177.03/5,741.67
  6. Step 6: Final answer
    x = 2,372.86

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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.