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Finding the Fourth Proportional to 5,154.82, 7,733.66 and 1,694.50

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Solution

The fourth proportional to 5,154.82, 7,733.66 and 1,694.50 is: 2,542.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,154.82 : 7,733.66 = 1,694.50 : x
  2. Step 2: Convert to fraction form
    5,154.82/7,733.66 = 1,694.50/x
  3. Step 3: Cross multiply
    5,154.82x = 7,733.66 × 1,694.50
  4. Step 4: Simplify right side
    5,154.82x = 13,104,686.87
  5. Step 5: Solve for x
    x = 13,104,686.87/5,154.82
  6. Step 6: Final answer
    x = 2,542.22

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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.