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Finding the Fourth Proportional to 3,186.62, 4,774.86 and 2,142.78

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Solution

The fourth proportional to 3,186.62, 4,774.86 and 2,142.78 is: 3,210.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,186.62 : 4,774.86 = 2,142.78 : x
  2. Step 2: Convert to fraction form
    3,186.62/4,774.86 = 2,142.78/x
  3. Step 3: Cross multiply
    3,186.62x = 4,774.86 × 2,142.78
  4. Step 4: Simplify right side
    3,186.62x = 10,231,474.51
  5. Step 5: Solve for x
    x = 10,231,474.51/3,186.62
  6. Step 6: Final answer
    x = 3,210.77

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.