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Finding the Fourth Proportional to 5,676.57, 7,834.19 and 3,319.07

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Solution

The fourth proportional to 5,676.57, 7,834.19 and 3,319.07 is: 4,580.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,676.57 : 7,834.19 = 3,319.07 : x
  2. Step 2: Convert to fraction form
    5,676.57/7,834.19 = 3,319.07/x
  3. Step 3: Cross multiply
    5,676.57x = 7,834.19 × 3,319.07
  4. Step 4: Simplify right side
    5,676.57x = 26,002,169.24
  5. Step 5: Solve for x
    x = 26,002,169.24/5,676.57
  6. Step 6: Final answer
    x = 4,580.61

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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.