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Finding the Fourth Proportional to 3,906.62, 5,860.56 and 1,566.62

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Solution

The fourth proportional to 3,906.62, 5,860.56 and 1,566.62 is: 2,350.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,906.62 : 5,860.56 = 1,566.62 : x
  2. Step 2: Convert to fraction form
    3,906.62/5,860.56 = 1,566.62/x
  3. Step 3: Cross multiply
    3,906.62x = 5,860.56 × 1,566.62
  4. Step 4: Simplify right side
    3,906.62x = 9,181,270.51
  5. Step 5: Solve for x
    x = 9,181,270.51/3,906.62
  6. Step 6: Final answer
    x = 2,350.18

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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.