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Finding the Fourth Proportional to 3,384.90, 5,081 and 2,843.01

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Solution

The fourth proportional to 3,384.90, 5,081 and 2,843.01 is: 4,267.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,384.90 : 5,081 = 2,843.01 : x
  2. Step 2: Convert to fraction form
    3,384.90/5,081 = 2,843.01/x
  3. Step 3: Cross multiply
    3,384.90x = 5,081 × 2,843.01
  4. Step 4: Simplify right side
    3,384.90x = 14,445,333.81
  5. Step 5: Solve for x
    x = 14,445,333.81/3,384.90
  6. Step 6: Final answer
    x = 4,267.58

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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.