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Finding the Fourth Proportional to 4,232.94, 6,349.14 and 1,311

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Solution

The fourth proportional to 4,232.94, 6,349.14 and 1,311 is: 1,966.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,232.94 : 6,349.14 = 1,311 : x
  2. Step 2: Convert to fraction form
    4,232.94/6,349.14 = 1,311/x
  3. Step 3: Cross multiply
    4,232.94x = 6,349.14 × 1,311
  4. Step 4: Simplify right side
    4,232.94x = 8,323,722.54
  5. Step 5: Solve for x
    x = 8,323,722.54/4,232.94
  6. Step 6: Final answer
    x = 1,966.42

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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.