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Finding the Fourth Proportional to 4,891.46, 7,337.19 and 1,771.88

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Solution

The fourth proportional to 4,891.46, 7,337.19 and 1,771.88 is: 2,657.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,891.46 : 7,337.19 = 1,771.88 : x
  2. Step 2: Convert to fraction form
    4,891.46/7,337.19 = 1,771.88/x
  3. Step 3: Cross multiply
    4,891.46x = 7,337.19 × 1,771.88
  4. Step 4: Simplify right side
    4,891.46x = 13,000,620.22
  5. Step 5: Solve for x
    x = 13,000,620.22/4,891.46
  6. Step 6: Final answer
    x = 2,657.82

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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.