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Finding the Fourth Proportional to 5,809.10, 8,692.11 and 3,470.37

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Solution

The fourth proportional to 5,809.10, 8,692.11 and 3,470.37 is: 5,192.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,809.10 : 8,692.11 = 3,470.37 : x
  2. Step 2: Convert to fraction form
    5,809.10/8,692.11 = 3,470.37/x
  3. Step 3: Cross multiply
    5,809.10x = 8,692.11 × 3,470.37
  4. Step 4: Simplify right side
    5,809.10x = 30,164,854.08
  5. Step 5: Solve for x
    x = 30,164,854.08/5,809.10
  6. Step 6: Final answer
    x = 5,192.69

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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.