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Finding the Fourth Proportional to 4,273.86, 6,410.74 and 1,352.17

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Solution

The fourth proportional to 4,273.86, 6,410.74 and 1,352.17 is: 2,028.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,273.86 : 6,410.74 = 1,352.17 : x
  2. Step 2: Convert to fraction form
    4,273.86/6,410.74 = 1,352.17/x
  3. Step 3: Cross multiply
    4,273.86x = 6,410.74 × 1,352.17
  4. Step 4: Simplify right side
    4,273.86x = 8,668,410.31
  5. Step 5: Solve for x
    x = 8,668,410.31/4,273.86
  6. Step 6: Final answer
    x = 2,028.24

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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.