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Finding the Fourth Proportional to 4,134.99, 6,201.16 and 1,361.01

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Solution

The fourth proportional to 4,134.99, 6,201.16 and 1,361.01 is: 2,041.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,134.99 : 6,201.16 = 1,361.01 : x
  2. Step 2: Convert to fraction form
    4,134.99/6,201.16 = 1,361.01/x
  3. Step 3: Cross multiply
    4,134.99x = 6,201.16 × 1,361.01
  4. Step 4: Simplify right side
    4,134.99x = 8,439,860.62
  5. Step 5: Solve for x
    x = 8,439,860.62/4,134.99
  6. Step 6: Final answer
    x = 2,041.08

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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.