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Finding the Fourth Proportional to 5,176.98, 7,767.78 and 1,889.31

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Solution

The fourth proportional to 5,176.98, 7,767.78 and 1,889.31 is: 2,834.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,176.98 : 7,767.78 = 1,889.31 : x
  2. Step 2: Convert to fraction form
    5,176.98/7,767.78 = 1,889.31/x
  3. Step 3: Cross multiply
    5,176.98x = 7,767.78 × 1,889.31
  4. Step 4: Simplify right side
    5,176.98x = 14,675,713.04
  5. Step 5: Solve for x
    x = 14,675,713.04/5,176.98
  6. Step 6: Final answer
    x = 2,834.80

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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.