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Finding the Fourth Proportional to 3,594.36, 5,380.39 and 1,946.82

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Solution

The fourth proportional to 3,594.36, 5,380.39 and 1,946.82 is: 2,914.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,594.36 : 5,380.39 = 1,946.82 : x
  2. Step 2: Convert to fraction form
    3,594.36/5,380.39 = 1,946.82/x
  3. Step 3: Cross multiply
    3,594.36x = 5,380.39 × 1,946.82
  4. Step 4: Simplify right side
    3,594.36x = 10,474,650.86
  5. Step 5: Solve for x
    x = 10,474,650.86/3,594.36
  6. Step 6: Final answer
    x = 2,914.19

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