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Finding the Fourth Proportional to 3,998.70, 5,998.08 and 1,401.66

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Solution

The fourth proportional to 3,998.70, 5,998.08 and 1,401.66 is: 2,102.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,998.70 : 5,998.08 = 1,401.66 : x
  2. Step 2: Convert to fraction form
    3,998.70/5,998.08 = 1,401.66/x
  3. Step 3: Cross multiply
    3,998.70x = 5,998.08 × 1,401.66
  4. Step 4: Simplify right side
    3,998.70x = 8,407,268.81
  5. Step 5: Solve for x
    x = 8,407,268.81/3,998.70
  6. Step 6: Final answer
    x = 2,102.50

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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.