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Finding the Fourth Proportional to 5,676.16, 8,511.61 and 3,141.55

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Solution

The fourth proportional to 5,676.16, 8,511.61 and 3,141.55 is: 4,710.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,676.16 : 8,511.61 = 3,141.55 : x
  2. Step 2: Convert to fraction form
    5,676.16/8,511.61 = 3,141.55/x
  3. Step 3: Cross multiply
    5,676.16x = 8,511.61 × 3,141.55
  4. Step 4: Simplify right side
    5,676.16x = 26,739,632.69
  5. Step 5: Solve for x
    x = 26,739,632.69/5,676.16
  6. Step 6: Final answer
    x = 4,710.87

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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.