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Finding the Fourth Proportional to 3,411.48, 5,119.05 and 1,463.84

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Solution

The fourth proportional to 3,411.48, 5,119.05 and 1,463.84 is: 2,196.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,411.48 : 5,119.05 = 1,463.84 : x
  2. Step 2: Convert to fraction form
    3,411.48/5,119.05 = 1,463.84/x
  3. Step 3: Cross multiply
    3,411.48x = 5,119.05 × 1,463.84
  4. Step 4: Simplify right side
    3,411.48x = 7,493,444.56
  5. Step 5: Solve for x
    x = 7,493,444.56/3,411.48
  6. Step 6: Final answer
    x = 2,196.54

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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.