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Finding the Fourth Proportional to 4,236.63, 6,347.43 and 3,614.02

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Solution

The fourth proportional to 4,236.63, 6,347.43 and 3,614.02 is: 5,414.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,236.63 : 6,347.43 = 3,614.02 : x
  2. Step 2: Convert to fraction form
    4,236.63/6,347.43 = 3,614.02/x
  3. Step 3: Cross multiply
    4,236.63x = 6,347.43 × 3,614.02
  4. Step 4: Simplify right side
    4,236.63x = 22,939,707.85
  5. Step 5: Solve for x
    x = 22,939,707.85/4,236.63
  6. Step 6: Final answer
    x = 5,414.61

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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.