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Finding the Fourth Proportional to 3,106.96, 4,286.18 and 1,847.32

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Solution

The fourth proportional to 3,106.96, 4,286.18 and 1,847.32 is: 2,548.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,106.96 : 4,286.18 = 1,847.32 : x
  2. Step 2: Convert to fraction form
    3,106.96/4,286.18 = 1,847.32/x
  3. Step 3: Cross multiply
    3,106.96x = 4,286.18 × 1,847.32
  4. Step 4: Simplify right side
    3,106.96x = 7,917,946.04
  5. Step 5: Solve for x
    x = 7,917,946.04/3,106.96
  6. Step 6: Final answer
    x = 2,548.45

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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.