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Finding the Fourth Proportional to 5,845.92, 8,069.12 and 3,490.08

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Solution

The fourth proportional to 5,845.92, 8,069.12 and 3,490.08 is: 4,817.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,845.92 : 8,069.12 = 3,490.08 : x
  2. Step 2: Convert to fraction form
    5,845.92/8,069.12 = 3,490.08/x
  3. Step 3: Cross multiply
    5,845.92x = 8,069.12 × 3,490.08
  4. Step 4: Simplify right side
    5,845.92x = 28,161,874.33
  5. Step 5: Solve for x
    x = 28,161,874.33/5,845.92
  6. Step 6: Final answer
    x = 4,817.36

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.