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Finding the Fourth Proportional to 5,099.52, 7,649.01 and 1,636.50

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Solution

The fourth proportional to 5,099.52, 7,649.01 and 1,636.50 is: 2,454.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,099.52 : 7,649.01 = 1,636.50 : x
  2. Step 2: Convert to fraction form
    5,099.52/7,649.01 = 1,636.50/x
  3. Step 3: Cross multiply
    5,099.52x = 7,649.01 × 1,636.50
  4. Step 4: Simplify right side
    5,099.52x = 12,517,604.87
  5. Step 5: Solve for x
    x = 12,517,604.87/5,099.52
  6. Step 6: Final answer
    x = 2,454.66

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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.