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Finding the Fourth Proportional to 4,859.34, 6,706.53 and 2,763.06

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Solution

The fourth proportional to 4,859.34, 6,706.53 and 2,763.06 is: 3,813.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,859.34 : 6,706.53 = 2,763.06 : x
  2. Step 2: Convert to fraction form
    4,859.34/6,706.53 = 2,763.06/x
  3. Step 3: Cross multiply
    4,859.34x = 6,706.53 × 2,763.06
  4. Step 4: Simplify right side
    4,859.34x = 18,530,544.78
  5. Step 5: Solve for x
    x = 18,530,544.78/4,859.34
  6. Step 6: Final answer
    x = 3,813.39

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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.