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Finding the Fourth Proportional to 3,502.37, 5,254.34 and 1,311.12

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Solution

The fourth proportional to 3,502.37, 5,254.34 and 1,311.12 is: 1,966.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,502.37 : 5,254.34 = 1,311.12 : x
  2. Step 2: Convert to fraction form
    3,502.37/5,254.34 = 1,311.12/x
  3. Step 3: Cross multiply
    3,502.37x = 5,254.34 × 1,311.12
  4. Step 4: Simplify right side
    3,502.37x = 6,889,063.71
  5. Step 5: Solve for x
    x = 6,889,063.71/3,502.37
  6. Step 6: Final answer
    x = 1,966.97

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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.