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Finding the Fourth Proportional to 4,930.29, 6,802.79 and 2,834.01

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Solution

The fourth proportional to 4,930.29, 6,802.79 and 2,834.01 is: 3,910.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,930.29 : 6,802.79 = 2,834.01 : x
  2. Step 2: Convert to fraction form
    4,930.29/6,802.79 = 2,834.01/x
  3. Step 3: Cross multiply
    4,930.29x = 6,802.79 × 2,834.01
  4. Step 4: Simplify right side
    4,930.29x = 19,279,160.72
  5. Step 5: Solve for x
    x = 19,279,160.72/4,930.29
  6. Step 6: Final answer
    x = 3,910.35

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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.