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Finding the Fourth Proportional to 3,924.33, 5,884.93 and 1,731.50

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Solution

The fourth proportional to 3,924.33, 5,884.93 and 1,731.50 is: 2,596.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,924.33 : 5,884.93 = 1,731.50 : x
  2. Step 2: Convert to fraction form
    3,924.33/5,884.93 = 1,731.50/x
  3. Step 3: Cross multiply
    3,924.33x = 5,884.93 × 1,731.50
  4. Step 4: Simplify right side
    3,924.33x = 10,189,756.30
  5. Step 5: Solve for x
    x = 10,189,756.30/3,924.33
  6. Step 6: Final answer
    x = 2,596.56

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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.