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Finding the Fourth Proportional to 5,054.52, 7,583.99 and 1,769.97

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Solution

The fourth proportional to 5,054.52, 7,583.99 and 1,769.97 is: 2,655.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,054.52 : 7,583.99 = 1,769.97 : x
  2. Step 2: Convert to fraction form
    5,054.52/7,583.99 = 1,769.97/x
  3. Step 3: Cross multiply
    5,054.52x = 7,583.99 × 1,769.97
  4. Step 4: Simplify right side
    5,054.52x = 13,423,425.93
  5. Step 5: Solve for x
    x = 13,423,425.93/5,054.52
  6. Step 6: Final answer
    x = 2,655.73

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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.