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Finding the Fourth Proportional to 4,922.51, 6,792.84 and 2,684.39

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Solution

The fourth proportional to 4,922.51, 6,792.84 and 2,684.39 is: 3,704.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,922.51 : 6,792.84 = 2,684.39 : x
  2. Step 2: Convert to fraction form
    4,922.51/6,792.84 = 2,684.39/x
  3. Step 3: Cross multiply
    4,922.51x = 6,792.84 × 2,684.39
  4. Step 4: Simplify right side
    4,922.51x = 18,234,631.77
  5. Step 5: Solve for x
    x = 18,234,631.77/4,922.51
  6. Step 6: Final answer
    x = 3,704.34

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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.