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Finding the Fourth Proportional to 4,201.38, 6,302.06 and 1,123.38

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Solution

The fourth proportional to 4,201.38, 6,302.06 and 1,123.38 is: 1,685.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,201.38 : 6,302.06 = 1,123.38 : x
  2. Step 2: Convert to fraction form
    4,201.38/6,302.06 = 1,123.38/x
  3. Step 3: Cross multiply
    4,201.38x = 6,302.06 × 1,123.38
  4. Step 4: Simplify right side
    4,201.38x = 7,079,608.16
  5. Step 5: Solve for x
    x = 7,079,608.16/4,201.38
  6. Step 6: Final answer
    x = 1,685.07

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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.