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Finding the Fourth Proportional to 5,741.88, 8,611.68 and 1,580.81

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Solution

The fourth proportional to 5,741.88, 8,611.68 and 1,580.81 is: 2,370.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,741.88 : 8,611.68 = 1,580.81 : x
  2. Step 2: Convert to fraction form
    5,741.88/8,611.68 = 1,580.81/x
  3. Step 3: Cross multiply
    5,741.88x = 8,611.68 × 1,580.81
  4. Step 4: Simplify right side
    5,741.88x = 13,613,429.86
  5. Step 5: Solve for x
    x = 13,613,429.86/5,741.88
  6. Step 6: Final answer
    x = 2,370.90

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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.