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Finding the Fourth Proportional to 5,813.18, 8,717.66 and 3,182.64

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Solution

The fourth proportional to 5,813.18, 8,717.66 and 3,182.64 is: 4,772.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,813.18 : 8,717.66 = 3,182.64 : x
  2. Step 2: Convert to fraction form
    5,813.18/8,717.66 = 3,182.64/x
  3. Step 3: Cross multiply
    5,813.18x = 8,717.66 × 3,182.64
  4. Step 4: Simplify right side
    5,813.18x = 27,745,173.42
  5. Step 5: Solve for x
    x = 27,745,173.42/5,813.18
  6. Step 6: Final answer
    x = 4,772.80

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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.