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Finding the Fourth Proportional to 4,534.53, 6,256.17 and 2,942.43

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Solution

The fourth proportional to 4,534.53, 6,256.17 and 2,942.43 is: 4,059.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,534.53 : 6,256.17 = 2,942.43 : x
  2. Step 2: Convert to fraction form
    4,534.53/6,256.17 = 2,942.43/x
  3. Step 3: Cross multiply
    4,534.53x = 6,256.17 × 2,942.43
  4. Step 4: Simplify right side
    4,534.53x = 18,408,342.29
  5. Step 5: Solve for x
    x = 18,408,342.29/4,534.53
  6. Step 6: Final answer
    x = 4,059.59

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.