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Finding the Fourth Proportional to 5,735.67, 7,916.87 and 3,379.18

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Solution

The fourth proportional to 5,735.67, 7,916.87 and 3,379.18 is: 4,664.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,735.67 : 7,916.87 = 3,379.18 : x
  2. Step 2: Convert to fraction form
    5,735.67/7,916.87 = 3,379.18/x
  3. Step 3: Cross multiply
    5,735.67x = 7,916.87 × 3,379.18
  4. Step 4: Simplify right side
    5,735.67x = 26,752,528.77
  5. Step 5: Solve for x
    x = 26,752,528.77/5,735.67
  6. Step 6: Final answer
    x = 4,664.24

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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.