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Finding the Fourth Proportional to 5,170.47, 7,755.72 and 1,883.56

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Solution

The fourth proportional to 5,170.47, 7,755.72 and 1,883.56 is: 2,825.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,170.47 : 7,755.72 = 1,883.56 : x
  2. Step 2: Convert to fraction form
    5,170.47/7,755.72 = 1,883.56/x
  3. Step 3: Cross multiply
    5,170.47x = 7,755.72 × 1,883.56
  4. Step 4: Simplify right side
    5,170.47x = 14,608,362.65
  5. Step 5: Solve for x
    x = 14,608,362.65/5,170.47
  6. Step 6: Final answer
    x = 2,825.35

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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.