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Finding the Fourth Proportional to 5,609.16, 8,414.82 and 1,911.24

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Solution

The fourth proportional to 5,609.16, 8,414.82 and 1,911.24 is: 2,867.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,609.16 : 8,414.82 = 1,911.24 : x
  2. Step 2: Convert to fraction form
    5,609.16/8,414.82 = 1,911.24/x
  3. Step 3: Cross multiply
    5,609.16x = 8,414.82 × 1,911.24
  4. Step 4: Simplify right side
    5,609.16x = 16,082,740.58
  5. Step 5: Solve for x
    x = 16,082,740.58/5,609.16
  6. Step 6: Final answer
    x = 2,867.23

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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.