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Finding the Fourth Proportional to 5,099.40, 7,649.28 and 1,636.56

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Solution

The fourth proportional to 5,099.40, 7,649.28 and 1,636.56 is: 2,454.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,099.40 : 7,649.28 = 1,636.56 : x
  2. Step 2: Convert to fraction form
    5,099.40/7,649.28 = 1,636.56/x
  3. Step 3: Cross multiply
    5,099.40x = 7,649.28 × 1,636.56
  4. Step 4: Simplify right side
    5,099.40x = 12,518,505.68
  5. Step 5: Solve for x
    x = 12,518,505.68/5,099.40
  6. Step 6: Final answer
    x = 2,454.90

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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.