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Finding the Fourth Proportional to 5,734.59, 7,913.81 and 3,344.49

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Solution

The fourth proportional to 5,734.59, 7,913.81 and 3,344.49 is: 4,615.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,734.59 : 7,913.81 = 3,344.49 : x
  2. Step 2: Convert to fraction form
    5,734.59/7,913.81 = 3,344.49/x
  3. Step 3: Cross multiply
    5,734.59x = 7,913.81 × 3,344.49
  4. Step 4: Simplify right side
    5,734.59x = 26,467,658.41
  5. Step 5: Solve for x
    x = 26,467,658.41/5,734.59
  6. Step 6: Final answer
    x = 4,615.44

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.