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Finding the Fourth Proportional to 3,333.72, 4,999.81 and 993.51

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Solution

The fourth proportional to 3,333.72, 4,999.81 and 993.51 is: 1,490.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,333.72 : 4,999.81 = 993.51 : x
  2. Step 2: Convert to fraction form
    3,333.72/4,999.81 = 993.51/x
  3. Step 3: Cross multiply
    3,333.72x = 4,999.81 × 993.51
  4. Step 4: Simplify right side
    3,333.72x = 4,967,361.23
  5. Step 5: Solve for x
    x = 4,967,361.23/3,333.72
  6. Step 6: Final answer
    x = 1,490.04

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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.