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Finding the Fourth Proportional to 3,786.15, 5,653.71 and 3,094.17

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Solution

The fourth proportional to 3,786.15, 5,653.71 and 3,094.17 is: 4,620.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,786.15 : 5,653.71 = 3,094.17 : x
  2. Step 2: Convert to fraction form
    3,786.15/5,653.71 = 3,094.17/x
  3. Step 3: Cross multiply
    3,786.15x = 5,653.71 × 3,094.17
  4. Step 4: Simplify right side
    3,786.15x = 17,493,539.87
  5. Step 5: Solve for x
    x = 17,493,539.87/3,786.15
  6. Step 6: Final answer
    x = 4,620.40

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.