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Finding the Fourth Proportional to 5,390.82, 8,085.87 and 2,269.17

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Solution

The fourth proportional to 5,390.82, 8,085.87 and 2,269.17 is: 3,403.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,390.82 : 8,085.87 = 2,269.17 : x
  2. Step 2: Convert to fraction form
    5,390.82/8,085.87 = 2,269.17/x
  3. Step 3: Cross multiply
    5,390.82x = 8,085.87 × 2,269.17
  4. Step 4: Simplify right side
    5,390.82x = 18,348,213.63
  5. Step 5: Solve for x
    x = 18,348,213.63/5,390.82
  6. Step 6: Final answer
    x = 3,403.60

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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.