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Finding the Fourth Proportional to 4,168.42, 5,748.02 and 2,593.78

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Solution

The fourth proportional to 4,168.42, 5,748.02 and 2,593.78 is: 3,576.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,168.42 : 5,748.02 = 2,593.78 : x
  2. Step 2: Convert to fraction form
    4,168.42/5,748.02 = 2,593.78/x
  3. Step 3: Cross multiply
    4,168.42x = 5,748.02 × 2,593.78
  4. Step 4: Simplify right side
    4,168.42x = 14,909,099.32
  5. Step 5: Solve for x
    x = 14,909,099.32/4,168.42
  6. Step 6: Final answer
    x = 3,576.68

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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.