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Finding the Fourth Proportional to 3,893.76, 5,840 and 2,594.56

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Solution

The fourth proportional to 3,893.76, 5,840 and 2,594.56 is: 3,891.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,893.76 : 5,840 = 2,594.56 : x
  2. Step 2: Convert to fraction form
    3,893.76/5,840 = 2,594.56/x
  3. Step 3: Cross multiply
    3,893.76x = 5,840 × 2,594.56
  4. Step 4: Simplify right side
    3,893.76x = 15,152,230.40
  5. Step 5: Solve for x
    x = 15,152,230.40/3,893.76
  6. Step 6: Final answer
    x = 3,891.41

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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.