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Finding the Fourth Proportional to 5,781, 8,674.13 and 2,450.16

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Solution

The fourth proportional to 5,781, 8,674.13 and 2,450.16 is: 3,676.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,781 : 8,674.13 = 2,450.16 : x
  2. Step 2: Convert to fraction form
    5,781/8,674.13 = 2,450.16/x
  3. Step 3: Cross multiply
    5,781x = 8,674.13 × 2,450.16
  4. Step 4: Simplify right side
    5,781x = 21,253,006.36
  5. Step 5: Solve for x
    x = 21,253,006.36/5,781
  6. Step 6: Final answer
    x = 3,676.35

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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.