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Finding the Fourth Proportional to 5,889.63, 8,123.59 and 4,000.15

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Solution

The fourth proportional to 5,889.63, 8,123.59 and 4,000.15 is: 5,517.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,889.63 : 8,123.59 = 4,000.15 : x
  2. Step 2: Convert to fraction form
    5,889.63/8,123.59 = 4,000.15/x
  3. Step 3: Cross multiply
    5,889.63x = 8,123.59 × 4,000.15
  4. Step 4: Simplify right side
    5,889.63x = 32,495,578.54
  5. Step 5: Solve for x
    x = 32,495,578.54/5,889.63
  6. Step 6: Final answer
    x = 5,517.42

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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.