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Finding the Fourth Proportional to 5,889.22, 8,123.74 and 3,677.38

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Solution

The fourth proportional to 5,889.22, 8,123.74 and 3,677.38 is: 5,072.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,889.22 : 8,123.74 = 3,677.38 : x
  2. Step 2: Convert to fraction form
    5,889.22/8,123.74 = 3,677.38/x
  3. Step 3: Cross multiply
    5,889.22x = 8,123.74 × 3,677.38
  4. Step 4: Simplify right side
    5,889.22x = 29,874,079.00
  5. Step 5: Solve for x
    x = 29,874,079.00/5,889.22
  6. Step 6: Final answer
    x = 5,072.67

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Why These Related Problems?

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