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Finding the Fourth Proportional to 5,034.76, 7,550.34 and 1,747

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Solution

The fourth proportional to 5,034.76, 7,550.34 and 1,747 is: 2,619.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,034.76 : 7,550.34 = 1,747 : x
  2. Step 2: Convert to fraction form
    5,034.76/7,550.34 = 1,747/x
  3. Step 3: Cross multiply
    5,034.76x = 7,550.34 × 1,747
  4. Step 4: Simplify right side
    5,034.76x = 13,190,443.98
  5. Step 5: Solve for x
    x = 13,190,443.98/5,034.76
  6. Step 6: Final answer
    x = 2,619.88

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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.