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Finding the Fourth Proportional to 5,732.76, 8,588.16 and 3,880.68

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Solution

The fourth proportional to 5,732.76, 8,588.16 and 3,880.68 is: 5,813.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,732.76 : 8,588.16 = 3,880.68 : x
  2. Step 2: Convert to fraction form
    5,732.76/8,588.16 = 3,880.68/x
  3. Step 3: Cross multiply
    5,732.76x = 8,588.16 × 3,880.68
  4. Step 4: Simplify right side
    5,732.76x = 33,327,900.75
  5. Step 5: Solve for x
    x = 33,327,900.75/5,732.76
  6. Step 6: Final answer
    x = 5,813.59

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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.