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Finding the Fourth Proportional to 3,188.77, 4,786.64 and 2,353.23

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Solution

The fourth proportional to 3,188.77, 4,786.64 and 2,353.23 is: 3,532.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,188.77 : 4,786.64 = 2,353.23 : x
  2. Step 2: Convert to fraction form
    3,188.77/4,786.64 = 2,353.23/x
  3. Step 3: Cross multiply
    3,188.77x = 4,786.64 × 2,353.23
  4. Step 4: Simplify right side
    3,188.77x = 11,264,061.68
  5. Step 5: Solve for x
    x = 11,264,061.68/3,188.77
  6. Step 6: Final answer
    x = 3,532.42

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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.