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Finding the Fourth Proportional to 4,760.86, 7,142.97 and 2,128.12

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Solution

The fourth proportional to 4,760.86, 7,142.97 and 2,128.12 is: 3,192.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,760.86 : 7,142.97 = 2,128.12 : x
  2. Step 2: Convert to fraction form
    4,760.86/7,142.97 = 2,128.12/x
  3. Step 3: Cross multiply
    4,760.86x = 7,142.97 × 2,128.12
  4. Step 4: Simplify right side
    4,760.86x = 15,201,097.32
  5. Step 5: Solve for x
    x = 15,201,097.32/4,760.86
  6. Step 6: Final answer
    x = 3,192.93

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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.