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Finding the Fourth Proportional to 4,760.78, 7,145.77 and 2,297.33

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Solution

The fourth proportional to 4,760.78, 7,145.77 and 2,297.33 is: 3,448.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,760.78 : 7,145.77 = 2,297.33 : x
  2. Step 2: Convert to fraction form
    4,760.78/7,145.77 = 2,297.33/x
  3. Step 3: Cross multiply
    4,760.78x = 7,145.77 × 2,297.33
  4. Step 4: Simplify right side
    4,760.78x = 16,416,150.32
  5. Step 5: Solve for x
    x = 16,416,150.32/4,760.78
  6. Step 6: Final answer
    x = 3,448.21

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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.