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Finding the Fourth Proportional to 3,611.37, 5,417.04 and 1,964.46

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Solution

The fourth proportional to 3,611.37, 5,417.04 and 1,964.46 is: 2,946.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,611.37 : 5,417.04 = 1,964.46 : x
  2. Step 2: Convert to fraction form
    3,611.37/5,417.04 = 1,964.46/x
  3. Step 3: Cross multiply
    3,611.37x = 5,417.04 × 1,964.46
  4. Step 4: Simplify right side
    3,611.37x = 10,641,558.40
  5. Step 5: Solve for x
    x = 10,641,558.40/3,611.37
  6. Step 6: Final answer
    x = 2,946.68

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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.