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Finding the Fourth Proportional to 3,384.95, 5,079.05 and 1,194.71

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Solution

The fourth proportional to 3,384.95, 5,079.05 and 1,194.71 is: 1,792.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,384.95 : 5,079.05 = 1,194.71 : x
  2. Step 2: Convert to fraction form
    3,384.95/5,079.05 = 1,194.71/x
  3. Step 3: Cross multiply
    3,384.95x = 5,079.05 × 1,194.71
  4. Step 4: Simplify right side
    3,384.95x = 6,067,991.83
  5. Step 5: Solve for x
    x = 6,067,991.83/3,384.95
  6. Step 6: Final answer
    x = 1,792.64

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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.