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Finding the Fourth Proportional to 4,778.93, 7,168.73 and 2,002.82

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Solution

The fourth proportional to 4,778.93, 7,168.73 and 2,002.82 is: 3,004.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,778.93 : 7,168.73 = 2,002.82 : x
  2. Step 2: Convert to fraction form
    4,778.93/7,168.73 = 2,002.82/x
  3. Step 3: Cross multiply
    4,778.93x = 7,168.73 × 2,002.82
  4. Step 4: Simplify right side
    4,778.93x = 14,357,629.96
  5. Step 5: Solve for x
    x = 14,357,629.96/4,778.93
  6. Step 6: Final answer
    x = 3,004.36

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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.