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Finding the Fourth Proportional to 5,874.06, 8,808.29 and 3,409.64

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Solution

The fourth proportional to 5,874.06, 8,808.29 and 3,409.64 is: 5,112.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,874.06 : 8,808.29 = 3,409.64 : x
  2. Step 2: Convert to fraction form
    5,874.06/8,808.29 = 3,409.64/x
  3. Step 3: Cross multiply
    5,874.06x = 8,808.29 × 3,409.64
  4. Step 4: Simplify right side
    5,874.06x = 30,033,097.92
  5. Step 5: Solve for x
    x = 30,033,097.92/5,874.06
  6. Step 6: Final answer
    x = 5,112.83

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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.