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Finding the Fourth Proportional to 3,426.84, 5,136.90 and 1,783.56

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Solution

The fourth proportional to 3,426.84, 5,136.90 and 1,783.56 is: 2,673.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,426.84 : 5,136.90 = 1,783.56 : x
  2. Step 2: Convert to fraction form
    3,426.84/5,136.90 = 1,783.56/x
  3. Step 3: Cross multiply
    3,426.84x = 5,136.90 × 1,783.56
  4. Step 4: Simplify right side
    3,426.84x = 9,161,969.36
  5. Step 5: Solve for x
    x = 9,161,969.36/3,426.84
  6. Step 6: Final answer
    x = 2,673.59

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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.