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Finding the Fourth Proportional to 3,370.31, 5,029.10 and 3,020.07

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Solution

The fourth proportional to 3,370.31, 5,029.10 and 3,020.07 is: 4,506.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,370.31 : 5,029.10 = 3,020.07 : x
  2. Step 2: Convert to fraction form
    3,370.31/5,029.10 = 3,020.07/x
  3. Step 3: Cross multiply
    3,370.31x = 5,029.10 × 3,020.07
  4. Step 4: Simplify right side
    3,370.31x = 15,188,249.12
  5. Step 5: Solve for x
    x = 15,188,249.12/3,370.31
  6. Step 6: Final answer
    x = 4,506.49

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.