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Finding the Fourth Proportional to 4,760.58, 7,142.58 and 2,127.86

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Solution

The fourth proportional to 4,760.58, 7,142.58 and 2,127.86 is: 3,192.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,760.58 : 7,142.58 = 2,127.86 : x
  2. Step 2: Convert to fraction form
    4,760.58/7,142.58 = 2,127.86/x
  3. Step 3: Cross multiply
    4,760.58x = 7,142.58 × 2,127.86
  4. Step 4: Simplify right side
    4,760.58x = 15,198,428.14
  5. Step 5: Solve for x
    x = 15,198,428.14/4,760.58
  6. Step 6: Final answer
    x = 3,192.56

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.