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Finding the Fourth Proportional to 4,744.50, 6,546.91 and 2,754.67

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Solution

The fourth proportional to 4,744.50, 6,546.91 and 2,754.67 is: 3,801.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,744.50 : 6,546.91 = 2,754.67 : x
  2. Step 2: Convert to fraction form
    4,744.50/6,546.91 = 2,754.67/x
  3. Step 3: Cross multiply
    4,744.50x = 6,546.91 × 2,754.67
  4. Step 4: Simplify right side
    4,744.50x = 18,034,543.84
  5. Step 5: Solve for x
    x = 18,034,543.84/4,744.50
  6. Step 6: Final answer
    x = 3,801.15

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.