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Finding the Fourth Proportional to 5,150.81, 7,727.66 and 1,690.49

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Solution

The fourth proportional to 5,150.81, 7,727.66 and 1,690.49 is: 2,536.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,150.81 : 7,727.66 = 1,690.49 : x
  2. Step 2: Convert to fraction form
    5,150.81/7,727.66 = 1,690.49/x
  3. Step 3: Cross multiply
    5,150.81x = 7,727.66 × 1,690.49
  4. Step 4: Simplify right side
    5,150.81x = 13,063,523.50
  5. Step 5: Solve for x
    x = 13,063,523.50/5,150.81
  6. Step 6: Final answer
    x = 2,536.21

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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.