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Finding the Fourth Proportional to 5,195.94, 7,789.05 and 2,275.98

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Solution

The fourth proportional to 5,195.94, 7,789.05 and 2,275.98 is: 3,411.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,195.94 : 7,789.05 = 2,275.98 : x
  2. Step 2: Convert to fraction form
    5,195.94/7,789.05 = 2,275.98/x
  3. Step 3: Cross multiply
    5,195.94x = 7,789.05 × 2,275.98
  4. Step 4: Simplify right side
    5,195.94x = 17,727,722.02
  5. Step 5: Solve for x
    x = 17,727,722.02/5,195.94
  6. Step 6: Final answer
    x = 3,411.84

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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.