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Finding the Fourth Proportional to 3,474.25, 5,210.56 and 1,133.65

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Solution

The fourth proportional to 3,474.25, 5,210.56 and 1,133.65 is: 1,700.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,474.25 : 5,210.56 = 1,133.65 : x
  2. Step 2: Convert to fraction form
    3,474.25/5,210.56 = 1,133.65/x
  3. Step 3: Cross multiply
    3,474.25x = 5,210.56 × 1,133.65
  4. Step 4: Simplify right side
    3,474.25x = 5,906,951.34
  5. Step 5: Solve for x
    x = 5,906,951.34/3,474.25
  6. Step 6: Final answer
    x = 1,700.21

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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.