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Finding the Fourth Proportional to 4,732.50, 7,099.67 and 2,135.44

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Solution

The fourth proportional to 4,732.50, 7,099.67 and 2,135.44 is: 3,203.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,732.50 : 7,099.67 = 2,135.44 : x
  2. Step 2: Convert to fraction form
    4,732.50/7,099.67 = 2,135.44/x
  3. Step 3: Cross multiply
    4,732.50x = 7,099.67 × 2,135.44
  4. Step 4: Simplify right side
    4,732.50x = 15,160,890.88
  5. Step 5: Solve for x
    x = 15,160,890.88/4,732.50
  6. Step 6: Final answer
    x = 3,203.57

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.