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Finding the Fourth Proportional to 3,594.37, 5,380.40 and 1,946.83

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Solution

The fourth proportional to 3,594.37, 5,380.40 and 1,946.83 is: 2,914.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,594.37 : 5,380.40 = 1,946.83 : x
  2. Step 2: Convert to fraction form
    3,594.37/5,380.40 = 1,946.83/x
  3. Step 3: Cross multiply
    3,594.37x = 5,380.40 × 1,946.83
  4. Step 4: Simplify right side
    3,594.37x = 10,474,687.50
  5. Step 5: Solve for x
    x = 10,474,687.50/3,594.37
  6. Step 6: Final answer
    x = 2,914.20

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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.