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Finding the Fourth Proportional to 4,821.99, 6,651.81 and 3,142.68

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Solution

The fourth proportional to 4,821.99, 6,651.81 and 3,142.68 is: 4,335.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,821.99 : 6,651.81 = 3,142.68 : x
  2. Step 2: Convert to fraction form
    4,821.99/6,651.81 = 3,142.68/x
  3. Step 3: Cross multiply
    4,821.99x = 6,651.81 × 3,142.68
  4. Step 4: Simplify right side
    4,821.99x = 20,904,510.25
  5. Step 5: Solve for x
    x = 20,904,510.25/4,821.99
  6. Step 6: Final answer
    x = 4,335.25

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.