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Finding the Fourth Proportional to 3,186.91, 4,775.74 and 2,264.27

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Solution

The fourth proportional to 3,186.91, 4,775.74 and 2,264.27 is: 3,393.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,186.91 : 4,775.74 = 2,264.27 : x
  2. Step 2: Convert to fraction form
    3,186.91/4,775.74 = 2,264.27/x
  3. Step 3: Cross multiply
    3,186.91x = 4,775.74 × 2,264.27
  4. Step 4: Simplify right side
    3,186.91x = 10,813,564.81
  5. Step 5: Solve for x
    x = 10,813,564.81/3,186.91
  6. Step 6: Final answer
    x = 3,393.12

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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.