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Finding the Fourth Proportional to 3,502.25, 5,254.31 and 1,311.20

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Solution

The fourth proportional to 3,502.25, 5,254.31 and 1,311.20 is: 1,967.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,502.25 : 5,254.31 = 1,311.20 : x
  2. Step 2: Convert to fraction form
    3,502.25/5,254.31 = 1,311.20/x
  3. Step 3: Cross multiply
    3,502.25x = 5,254.31 × 1,311.20
  4. Step 4: Simplify right side
    3,502.25x = 6,889,451.27
  5. Step 5: Solve for x
    x = 6,889,451.27/3,502.25
  6. Step 6: Final answer
    x = 1,967.15

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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.