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Finding the Fourth Proportional to 3,502.68, 5,252.34 and 1,311.36

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Solution

The fourth proportional to 3,502.68, 5,252.34 and 1,311.36 is: 1,966.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,502.68 : 5,252.34 = 1,311.36 : x
  2. Step 2: Convert to fraction form
    3,502.68/5,252.34 = 1,311.36/x
  3. Step 3: Cross multiply
    3,502.68x = 5,252.34 × 1,311.36
  4. Step 4: Simplify right side
    3,502.68x = 6,887,708.58
  5. Step 5: Solve for x
    x = 6,887,708.58/3,502.68
  6. Step 6: Final answer
    x = 1,966.41

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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.