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Finding the Fourth Proportional to 3,476.34, 5,212.08 and 1,744.02

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Solution

The fourth proportional to 3,476.34, 5,212.08 and 1,744.02 is: 2,614.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,476.34 : 5,212.08 = 1,744.02 : x
  2. Step 2: Convert to fraction form
    3,476.34/5,212.08 = 1,744.02/x
  3. Step 3: Cross multiply
    3,476.34x = 5,212.08 × 1,744.02
  4. Step 4: Simplify right side
    3,476.34x = 9,089,971.76
  5. Step 5: Solve for x
    x = 9,089,971.76/3,476.34
  6. Step 6: Final answer
    x = 2,614.81

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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.