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Finding the Fourth Proportional to 4,676.94, 7,016.49 and 1,389.96

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Solution

The fourth proportional to 4,676.94, 7,016.49 and 1,389.96 is: 2,085.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,676.94 : 7,016.49 = 1,389.96 : x
  2. Step 2: Convert to fraction form
    4,676.94/7,016.49 = 1,389.96/x
  3. Step 3: Cross multiply
    4,676.94x = 7,016.49 × 1,389.96
  4. Step 4: Simplify right side
    4,676.94x = 9,752,640.44
  5. Step 5: Solve for x
    x = 9,752,640.44/4,676.94
  6. Step 6: Final answer
    x = 2,085.26

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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.