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Finding the Fourth Proportional to 4,645.24, 6,963 and 3,410.80

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Solution

The fourth proportional to 4,645.24, 6,963 and 3,410.80 is: 5,112.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,645.24 : 6,963 = 3,410.80 : x
  2. Step 2: Convert to fraction form
    4,645.24/6,963 = 3,410.80/x
  3. Step 3: Cross multiply
    4,645.24x = 6,963 × 3,410.80
  4. Step 4: Simplify right side
    4,645.24x = 23,749,400.40
  5. Step 5: Solve for x
    x = 23,749,400.40/4,645.24
  6. Step 6: Final answer
    x = 5,112.63

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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.