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Finding the Fourth Proportional to 4,123.64, 6,172.08 and 3,027.76

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Solution

The fourth proportional to 4,123.64, 6,172.08 and 3,027.76 is: 4,531.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,123.64 : 6,172.08 = 3,027.76 : x
  2. Step 2: Convert to fraction form
    4,123.64/6,172.08 = 3,027.76/x
  3. Step 3: Cross multiply
    4,123.64x = 6,172.08 × 3,027.76
  4. Step 4: Simplify right side
    4,123.64x = 18,687,576.94
  5. Step 5: Solve for x
    x = 18,687,576.94/4,123.64
  6. Step 6: Final answer
    x = 4,531.82

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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.