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Finding the Fourth Proportional to 3,470.48, 5,197.44 and 1,908.08

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Solution

The fourth proportional to 3,470.48, 5,197.44 and 1,908.08 is: 2,857.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,470.48 : 5,197.44 = 1,908.08 : x
  2. Step 2: Convert to fraction form
    3,470.48/5,197.44 = 1,908.08/x
  3. Step 3: Cross multiply
    3,470.48x = 5,197.44 × 1,908.08
  4. Step 4: Simplify right side
    3,470.48x = 9,917,131.32
  5. Step 5: Solve for x
    x = 9,917,131.32/3,470.48
  6. Step 6: Final answer
    x = 2,857.57

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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.