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Finding the Fourth Proportional to 5,170.38, 7,755.62 and 1,883.49

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Solution

The fourth proportional to 5,170.38, 7,755.62 and 1,883.49 is: 2,825.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,170.38 : 7,755.62 = 1,883.49 : x
  2. Step 2: Convert to fraction form
    5,170.38/7,755.62 = 1,883.49/x
  3. Step 3: Cross multiply
    5,170.38x = 7,755.62 × 1,883.49
  4. Step 4: Simplify right side
    5,170.38x = 14,607,623.30
  5. Step 5: Solve for x
    x = 14,607,623.30/5,170.38
  6. Step 6: Final answer
    x = 2,825.25

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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.