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Finding the Fourth Proportional to 4,007.70, 5,530.38 and 2,239.44

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Solution

The fourth proportional to 4,007.70, 5,530.38 and 2,239.44 is: 3,090.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,007.70 : 5,530.38 = 2,239.44 : x
  2. Step 2: Convert to fraction form
    4,007.70/5,530.38 = 2,239.44/x
  3. Step 3: Cross multiply
    4,007.70x = 5,530.38 × 2,239.44
  4. Step 4: Simplify right side
    4,007.70x = 12,384,954.19
  5. Step 5: Solve for x
    x = 12,384,954.19/4,007.70
  6. Step 6: Final answer
    x = 3,090.29

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.