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Finding the Fourth Proportional to 3,186.96, 4,386.96 and 2,772.24

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Solution

The fourth proportional to 3,186.96, 4,386.96 and 2,772.24 is: 3,816.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,186.96 : 4,386.96 = 2,772.24 : x
  2. Step 2: Convert to fraction form
    3,186.96/4,386.96 = 2,772.24/x
  3. Step 3: Cross multiply
    3,186.96x = 4,386.96 × 2,772.24
  4. Step 4: Simplify right side
    3,186.96x = 12,161,705.99
  5. Step 5: Solve for x
    x = 12,161,705.99/3,186.96
  6. Step 6: Final answer
    x = 3,816.08

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.