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Finding the Fourth Proportional to 3,389.66, 5,086.74 and 1,198.40

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Solution

The fourth proportional to 3,389.66, 5,086.74 and 1,198.40 is: 1,798.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,389.66 : 5,086.74 = 1,198.40 : x
  2. Step 2: Convert to fraction form
    3,389.66/5,086.74 = 1,198.40/x
  3. Step 3: Cross multiply
    3,389.66x = 5,086.74 × 1,198.40
  4. Step 4: Simplify right side
    3,389.66x = 6,095,949.22
  5. Step 5: Solve for x
    x = 6,095,949.22/3,389.66
  6. Step 6: Final answer
    x = 1,798.40

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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.