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Finding the Fourth Proportional to 4,754.49, 7,131.74 and 2,560.20

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Solution

The fourth proportional to 4,754.49, 7,131.74 and 2,560.20 is: 3,840.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,754.49 : 7,131.74 = 2,560.20 : x
  2. Step 2: Convert to fraction form
    4,754.49/7,131.74 = 2,560.20/x
  3. Step 3: Cross multiply
    4,754.49x = 7,131.74 × 2,560.20
  4. Step 4: Simplify right side
    4,754.49x = 18,258,667.95
  5. Step 5: Solve for x
    x = 18,258,667.95/4,754.49
  6. Step 6: Final answer
    x = 3,840.30

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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.