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Finding the Fourth Proportional to 3,333.02, 5,000.81 and 1,384.70

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Solution

The fourth proportional to 3,333.02, 5,000.81 and 1,384.70 is: 2,077.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,333.02 : 5,000.81 = 1,384.70 : x
  2. Step 2: Convert to fraction form
    3,333.02/5,000.81 = 1,384.70/x
  3. Step 3: Cross multiply
    3,333.02x = 5,000.81 × 1,384.70
  4. Step 4: Simplify right side
    3,333.02x = 6,924,589.68
  5. Step 5: Solve for x
    x = 6,924,589.68/3,333.02
  6. Step 6: Final answer
    x = 2,077.58

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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.