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Finding the Fourth Proportional to 3,998.93, 5,998.42 and 1,533.16

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Solution

The fourth proportional to 3,998.93, 5,998.42 and 1,533.16 is: 2,299.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,998.93 : 5,998.42 = 1,533.16 : x
  2. Step 2: Convert to fraction form
    3,998.93/5,998.42 = 1,533.16/x
  3. Step 3: Cross multiply
    3,998.93x = 5,998.42 × 1,533.16
  4. Step 4: Simplify right side
    3,998.93x = 9,196,518.78
  5. Step 5: Solve for x
    x = 9,196,518.78/3,998.93
  6. Step 6: Final answer
    x = 2,299.75

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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.