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Finding the Fourth Proportional to 3,531.84, 4,896.26 and 3,344.59

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Solution

The fourth proportional to 3,531.84, 4,896.26 and 3,344.59 is: 4,636.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,531.84 : 4,896.26 = 3,344.59 : x
  2. Step 2: Convert to fraction form
    3,531.84/4,896.26 = 3,344.59/x
  3. Step 3: Cross multiply
    3,531.84x = 4,896.26 × 3,344.59
  4. Step 4: Simplify right side
    3,531.84x = 16,375,982.23
  5. Step 5: Solve for x
    x = 16,375,982.23/3,531.84
  6. Step 6: Final answer
    x = 4,636.67

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These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.