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Finding the Fourth Proportional to 3,660.96, 5,492.91 and 1,711.95

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Solution

The fourth proportional to 3,660.96, 5,492.91 and 1,711.95 is: 2,568.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,660.96 : 5,492.91 = 1,711.95 : x
  2. Step 2: Convert to fraction form
    3,660.96/5,492.91 = 1,711.95/x
  3. Step 3: Cross multiply
    3,660.96x = 5,492.91 × 1,711.95
  4. Step 4: Simplify right side
    3,660.96x = 9,403,587.27
  5. Step 5: Solve for x
    x = 9,403,587.27/3,660.96
  6. Step 6: Final answer
    x = 2,568.61

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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.