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Finding the Fourth Proportional to 5,738.16, 8,610.48 and 2,450.96

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Solution

The fourth proportional to 5,738.16, 8,610.48 and 2,450.96 is: 3,677.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,738.16 : 8,610.48 = 2,450.96 : x
  2. Step 2: Convert to fraction form
    5,738.16/8,610.48 = 2,450.96/x
  3. Step 3: Cross multiply
    5,738.16x = 8,610.48 × 2,450.96
  4. Step 4: Simplify right side
    5,738.16x = 21,103,942.06
  5. Step 5: Solve for x
    x = 21,103,942.06/5,738.16
  6. Step 6: Final answer
    x = 3,677.82

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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.