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Finding the Fourth Proportional to 4,236.68, 6,354.96 and 1,314.99

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Solution

The fourth proportional to 4,236.68, 6,354.96 and 1,314.99 is: 1,972.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,236.68 : 6,354.96 = 1,314.99 : x
  2. Step 2: Convert to fraction form
    4,236.68/6,354.96 = 1,314.99/x
  3. Step 3: Cross multiply
    4,236.68x = 6,354.96 × 1,314.99
  4. Step 4: Simplify right side
    4,236.68x = 8,356,708.85
  5. Step 5: Solve for x
    x = 8,356,708.85/4,236.68
  6. Step 6: Final answer
    x = 1,972.47

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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.