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Finding the Fourth Proportional to 5,889.78, 8,123.63 and 4,073.49

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Solution

The fourth proportional to 5,889.78, 8,123.63 and 4,073.49 is: 5,618.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,889.78 : 8,123.63 = 4,073.49 : x
  2. Step 2: Convert to fraction form
    5,889.78/8,123.63 = 4,073.49/x
  3. Step 3: Cross multiply
    5,889.78x = 8,123.63 × 4,073.49
  4. Step 4: Simplify right side
    5,889.78x = 33,091,505.20
  5. Step 5: Solve for x
    x = 33,091,505.20/5,889.78
  6. Step 6: Final answer
    x = 5,618.46

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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.