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Finding the Fourth Proportional to 3,659.91, 5,050.69 and 1,981.34

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Solution

The fourth proportional to 3,659.91, 5,050.69 and 1,981.34 is: 2,734.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,659.91 : 5,050.69 = 1,981.34 : x
  2. Step 2: Convert to fraction form
    3,659.91/5,050.69 = 1,981.34/x
  3. Step 3: Cross multiply
    3,659.91x = 5,050.69 × 1,981.34
  4. Step 4: Simplify right side
    3,659.91x = 10,007,108.65
  5. Step 5: Solve for x
    x = 10,007,108.65/3,659.91
  6. Step 6: Final answer
    x = 2,734.25

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.