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Finding the Fourth Proportional to 3,334.72, 5,002.06 and 1,361.16

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Solution

The fourth proportional to 3,334.72, 5,002.06 and 1,361.16 is: 2,041.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,334.72 : 5,002.06 = 1,361.16 : x
  2. Step 2: Convert to fraction form
    3,334.72/5,002.06 = 1,361.16/x
  3. Step 3: Cross multiply
    3,334.72x = 5,002.06 × 1,361.16
  4. Step 4: Simplify right side
    3,334.72x = 6,808,603.99
  5. Step 5: Solve for x
    x = 6,808,603.99/3,334.72
  6. Step 6: Final answer
    x = 2,041.73

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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.