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Finding the Fourth Proportional to 3,648.25, 5,471.97 and 1,308.16

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Solution

The fourth proportional to 3,648.25, 5,471.97 and 1,308.16 is: 1,962.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,648.25 : 5,471.97 = 1,308.16 : x
  2. Step 2: Convert to fraction form
    3,648.25/5,471.97 = 1,308.16/x
  3. Step 3: Cross multiply
    3,648.25x = 5,471.97 × 1,308.16
  4. Step 4: Simplify right side
    3,648.25x = 7,158,212.28
  5. Step 5: Solve for x
    x = 7,158,212.28/3,648.25
  6. Step 6: Final answer
    x = 1,962.09

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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.