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Finding the Fourth Proportional to 4,100.07, 6,151.22 and 1,636.64

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Solution

The fourth proportional to 4,100.07, 6,151.22 and 1,636.64 is: 2,455.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,100.07 : 6,151.22 = 1,636.64 : x
  2. Step 2: Convert to fraction form
    4,100.07/6,151.22 = 1,636.64/x
  3. Step 3: Cross multiply
    4,100.07x = 6,151.22 × 1,636.64
  4. Step 4: Simplify right side
    4,100.07x = 10,067,332.70
  5. Step 5: Solve for x
    x = 10,067,332.70/4,100.07
  6. Step 6: Final answer
    x = 2,455.41

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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.