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Finding the Fourth Proportional to 5,893.60, 8,838.35 and 2,609

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Solution

The fourth proportional to 5,893.60, 8,838.35 and 2,609 is: 3,912.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,893.60 : 8,838.35 = 2,609 : x
  2. Step 2: Convert to fraction form
    5,893.60/8,838.35 = 2,609/x
  3. Step 3: Cross multiply
    5,893.60x = 8,838.35 × 2,609
  4. Step 4: Simplify right side
    5,893.60x = 23,059,255.15
  5. Step 5: Solve for x
    x = 23,059,255.15/5,893.60
  6. Step 6: Final answer
    x = 3,912.59

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.