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Finding the Fourth Proportional to 5,609.10, 8,414.79 and 1,910.34

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Solution

The fourth proportional to 5,609.10, 8,414.79 and 1,910.34 is: 2,865.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,609.10 : 8,414.79 = 1,910.34 : x
  2. Step 2: Convert to fraction form
    5,609.10/8,414.79 = 1,910.34/x
  3. Step 3: Cross multiply
    5,609.10x = 8,414.79 × 1,910.34
  4. Step 4: Simplify right side
    5,609.10x = 16,075,109.93
  5. Step 5: Solve for x
    x = 16,075,109.93/5,609.10
  6. Step 6: Final answer
    x = 2,865.90

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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.