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Finding the Fourth Proportional to 5,195.71, 7,794.79 and 1,685.72

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Solution

The fourth proportional to 5,195.71, 7,794.79 and 1,685.72 is: 2,528.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,195.71 : 7,794.79 = 1,685.72 : x
  2. Step 2: Convert to fraction form
    5,195.71/7,794.79 = 1,685.72/x
  3. Step 3: Cross multiply
    5,195.71x = 7,794.79 × 1,685.72
  4. Step 4: Simplify right side
    5,195.71x = 13,139,871.49
  5. Step 5: Solve for x
    x = 13,139,871.49/5,195.71
  6. Step 6: Final answer
    x = 2,528.99

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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.