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Finding the Fourth Proportional to 5,642.09, 7,786.02 and 3,124.31

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Solution

The fourth proportional to 5,642.09, 7,786.02 and 3,124.31 is: 4,311.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,642.09 : 7,786.02 = 3,124.31 : x
  2. Step 2: Convert to fraction form
    5,642.09/7,786.02 = 3,124.31/x
  3. Step 3: Cross multiply
    5,642.09x = 7,786.02 × 3,124.31
  4. Step 4: Simplify right side
    5,642.09x = 24,325,912.93
  5. Step 5: Solve for x
    x = 24,325,912.93/5,642.09
  6. Step 6: Final answer
    x = 4,311.51

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.