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Finding the Fourth Proportional to 5,169.08, 7,755.69 and 1,882.40

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Solution

The fourth proportional to 5,169.08, 7,755.69 and 1,882.40 is: 2,824.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,169.08 : 7,755.69 = 1,882.40 : x
  2. Step 2: Convert to fraction form
    5,169.08/7,755.69 = 1,882.40/x
  3. Step 3: Cross multiply
    5,169.08x = 7,755.69 × 1,882.40
  4. Step 4: Simplify right side
    5,169.08x = 14,599,310.86
  5. Step 5: Solve for x
    x = 14,599,310.86/5,169.08
  6. Step 6: Final answer
    x = 2,824.35

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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.