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Finding the Fourth Proportional to 3,464.65, 5,193.60 and 1,982.35

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Solution

The fourth proportional to 3,464.65, 5,193.60 and 1,982.35 is: 2,971.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,464.65 : 5,193.60 = 1,982.35 : x
  2. Step 2: Convert to fraction form
    3,464.65/5,193.60 = 1,982.35/x
  3. Step 3: Cross multiply
    3,464.65x = 5,193.60 × 1,982.35
  4. Step 4: Simplify right side
    3,464.65x = 10,295,532.96
  5. Step 5: Solve for x
    x = 10,295,532.96/3,464.65
  6. Step 6: Final answer
    x = 2,971.59

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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.