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Finding the Fourth Proportional to 3,333.09, 5,000.49 and 993.12

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Solution

The fourth proportional to 3,333.09, 5,000.49 and 993.12 is: 1,489.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,333.09 : 5,000.49 = 993.12 : x
  2. Step 2: Convert to fraction form
    3,333.09/5,000.49 = 993.12/x
  3. Step 3: Cross multiply
    3,333.09x = 5,000.49 × 993.12
  4. Step 4: Simplify right side
    3,333.09x = 4,966,086.63
  5. Step 5: Solve for x
    x = 4,966,086.63/3,333.09
  6. Step 6: Final answer
    x = 1,489.93

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.