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Finding the Fourth Proportional to 5,170.30, 7,755.45 and 1,883.42

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Solution

The fourth proportional to 5,170.30, 7,755.45 and 1,883.42 is: 2,825.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,170.30 : 7,755.45 = 1,883.42 : x
  2. Step 2: Convert to fraction form
    5,170.30/7,755.45 = 1,883.42/x
  3. Step 3: Cross multiply
    5,170.30x = 7,755.45 × 1,883.42
  4. Step 4: Simplify right side
    5,170.30x = 14,606,769.64
  5. Step 5: Solve for x
    x = 14,606,769.64/5,170.30
  6. Step 6: Final answer
    x = 2,825.13

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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.