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Finding the Fourth Proportional to 3,470.49, 5,197.39 and 1,985.21

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Solution

The fourth proportional to 3,470.49, 5,197.39 and 1,985.21 is: 2,973.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,470.49 : 5,197.39 = 1,985.21 : x
  2. Step 2: Convert to fraction form
    3,470.49/5,197.39 = 1,985.21/x
  3. Step 3: Cross multiply
    3,470.49x = 5,197.39 × 1,985.21
  4. Step 4: Simplify right side
    3,470.49x = 10,317,879.65
  5. Step 5: Solve for x
    x = 10,317,879.65/3,470.49
  6. Step 6: Final answer
    x = 2,973.04

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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.