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Finding the Fourth Proportional to 3,470.26, 4,786.77 and 3,029.26

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Solution

The fourth proportional to 3,470.26, 4,786.77 and 3,029.26 is: 4,178.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,470.26 : 4,786.77 = 3,029.26 : x
  2. Step 2: Convert to fraction form
    3,470.26/4,786.77 = 3,029.26/x
  3. Step 3: Cross multiply
    3,470.26x = 4,786.77 × 3,029.26
  4. Step 4: Simplify right side
    3,470.26x = 14,500,370.89
  5. Step 5: Solve for x
    x = 14,500,370.89/3,470.26
  6. Step 6: Final answer
    x = 4,178.47

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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.