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Finding the Fourth Proportional to 5,323.56, 7,984.32 and 3,129.73

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Solution

The fourth proportional to 5,323.56, 7,984.32 and 3,129.73 is: 4,694.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,323.56 : 7,984.32 = 3,129.73 : x
  2. Step 2: Convert to fraction form
    5,323.56/7,984.32 = 3,129.73/x
  3. Step 3: Cross multiply
    5,323.56x = 7,984.32 × 3,129.73
  4. Step 4: Simplify right side
    5,323.56x = 24,988,765.83
  5. Step 5: Solve for x
    x = 24,988,765.83/5,323.56
  6. Step 6: Final answer
    x = 4,694.00

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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.