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Finding the Fourth Proportional to 5,155.20, 7,733.24 and 1,645.71

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Solution

The fourth proportional to 5,155.20, 7,733.24 and 1,645.71 is: 2,468.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,155.20 : 7,733.24 = 1,645.71 : x
  2. Step 2: Convert to fraction form
    5,155.20/7,733.24 = 1,645.71/x
  3. Step 3: Cross multiply
    5,155.20x = 7,733.24 × 1,645.71
  4. Step 4: Simplify right side
    5,155.20x = 12,726,662.17
  5. Step 5: Solve for x
    x = 12,726,662.17/5,155.20
  6. Step 6: Final answer
    x = 2,468.70

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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.