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Finding the Fourth Proportional to 3,186, 4,774.37 and 2,263.41

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Solution

The fourth proportional to 3,186, 4,774.37 and 2,263.41 is: 3,391.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,186 : 4,774.37 = 2,263.41 : x
  2. Step 2: Convert to fraction form
    3,186/4,774.37 = 2,263.41/x
  3. Step 3: Cross multiply
    3,186x = 4,774.37 × 2,263.41
  4. Step 4: Simplify right side
    3,186x = 10,806,345.48
  5. Step 5: Solve for x
    x = 10,806,345.48/3,186
  6. Step 6: Final answer
    x = 3,391.82

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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.