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Finding the Fourth Proportional to 3,334.64, 5,000.54 and 993.80

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Solution

The fourth proportional to 3,334.64, 5,000.54 and 993.80 is: 1,490.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,334.64 : 5,000.54 = 993.80 : x
  2. Step 2: Convert to fraction form
    3,334.64/5,000.54 = 993.80/x
  3. Step 3: Cross multiply
    3,334.64x = 5,000.54 × 993.80
  4. Step 4: Simplify right side
    3,334.64x = 4,969,544.18
  5. Step 5: Solve for x
    x = 4,969,544.18/3,334.64
  6. Step 6: Final answer
    x = 1,490.28

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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.