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Finding the Fourth Proportional to 5,054.50, 7,583.02 and 1,767.62

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Solution

The fourth proportional to 5,054.50, 7,583.02 and 1,767.62 is: 2,651.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,054.50 : 7,583.02 = 1,767.62 : x
  2. Step 2: Convert to fraction form
    5,054.50/7,583.02 = 1,767.62/x
  3. Step 3: Cross multiply
    5,054.50x = 7,583.02 × 1,767.62
  4. Step 4: Simplify right side
    5,054.50x = 13,403,912.35
  5. Step 5: Solve for x
    x = 13,403,912.35/5,054.50
  6. Step 6: Final answer
    x = 2,651.88

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.