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Finding the Fourth Proportional to 3,411.63, 5,116.23 and 1,190.21

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Solution

The fourth proportional to 3,411.63, 5,116.23 and 1,190.21 is: 1,784.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,411.63 : 5,116.23 = 1,190.21 : x
  2. Step 2: Convert to fraction form
    3,411.63/5,116.23 = 1,190.21/x
  3. Step 3: Cross multiply
    3,411.63x = 5,116.23 × 1,190.21
  4. Step 4: Simplify right side
    3,411.63x = 6,089,362.53
  5. Step 5: Solve for x
    x = 6,089,362.53/3,411.63
  6. Step 6: Final answer
    x = 1,784.88

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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.