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Finding the Fourth Proportional to 5,195.71, 7,794.63 and 1,908.84

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Solution

The fourth proportional to 5,195.71, 7,794.63 and 1,908.84 is: 2,863.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,195.71 : 7,794.63 = 1,908.84 : x
  2. Step 2: Convert to fraction form
    5,195.71/7,794.63 = 1,908.84/x
  3. Step 3: Cross multiply
    5,195.71x = 7,794.63 × 1,908.84
  4. Step 4: Simplify right side
    5,195.71x = 14,878,701.53
  5. Step 5: Solve for x
    x = 14,878,701.53/5,195.71
  6. Step 6: Final answer
    x = 2,863.65

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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.