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Finding the Fourth Proportional to 3,814.97, 5,724.62 and 1,762.97

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Solution

The fourth proportional to 3,814.97, 5,724.62 and 1,762.97 is: 2,645.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,814.97 : 5,724.62 = 1,762.97 : x
  2. Step 2: Convert to fraction form
    3,814.97/5,724.62 = 1,762.97/x
  3. Step 3: Cross multiply
    3,814.97x = 5,724.62 × 1,762.97
  4. Step 4: Simplify right side
    3,814.97x = 10,092,317.35
  5. Step 5: Solve for x
    x = 10,092,317.35/3,814.97
  6. Step 6: Final answer
    x = 2,645.45

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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.