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Finding the Fourth Proportional to 3,333.84, 5,000.40 and 993.60

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Solution

The fourth proportional to 3,333.84, 5,000.40 and 993.60 is: 1,490.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,333.84 : 5,000.40 = 993.60 : x
  2. Step 2: Convert to fraction form
    3,333.84/5,000.40 = 993.60/x
  3. Step 3: Cross multiply
    3,333.84x = 5,000.40 × 993.60
  4. Step 4: Simplify right side
    3,333.84x = 4,968,397.44
  5. Step 5: Solve for x
    x = 4,968,397.44/3,333.84
  6. Step 6: Final answer
    x = 1,490.29

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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.