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Finding the Fourth Proportional to 4,686.62, 6,467.06 and 2,696.79

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Solution

The fourth proportional to 4,686.62, 6,467.06 and 2,696.79 is: 3,721.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,686.62 : 6,467.06 = 2,696.79 : x
  2. Step 2: Convert to fraction form
    4,686.62/6,467.06 = 2,696.79/x
  3. Step 3: Cross multiply
    4,686.62x = 6,467.06 × 2,696.79
  4. Step 4: Simplify right side
    4,686.62x = 17,440,289.25
  5. Step 5: Solve for x
    x = 17,440,289.25/4,686.62
  6. Step 6: Final answer
    x = 3,721.29

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.