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Finding the Fourth Proportional to 5,914.62, 8,869.64 and 1,965.74

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Solution

The fourth proportional to 5,914.62, 8,869.64 and 1,965.74 is: 2,947.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,914.62 : 8,869.64 = 1,965.74 : x
  2. Step 2: Convert to fraction form
    5,914.62/8,869.64 = 1,965.74/x
  3. Step 3: Cross multiply
    5,914.62x = 8,869.64 × 1,965.74
  4. Step 4: Simplify right side
    5,914.62x = 17,435,351.96
  5. Step 5: Solve for x
    x = 17,435,351.96/5,914.62
  6. Step 6: Final answer
    x = 2,947.84

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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.