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Finding the Fourth Proportional to 5,162.78, 7,739.78 and 2,044.98

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Solution

The fourth proportional to 5,162.78, 7,739.78 and 2,044.98 is: 3,065.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,162.78 : 7,739.78 = 2,044.98 : x
  2. Step 2: Convert to fraction form
    5,162.78/7,739.78 = 2,044.98/x
  3. Step 3: Cross multiply
    5,162.78x = 7,739.78 × 2,044.98
  4. Step 4: Simplify right side
    5,162.78x = 15,827,695.30
  5. Step 5: Solve for x
    x = 15,827,695.30/5,162.78
  6. Step 6: Final answer
    x = 3,065.73

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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.