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Finding the Fourth Proportional to 4,866.13, 6,714.25 and 3,097.09

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Solution

The fourth proportional to 4,866.13, 6,714.25 and 3,097.09 is: 4,273.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,866.13 : 6,714.25 = 3,097.09 : x
  2. Step 2: Convert to fraction form
    4,866.13/6,714.25 = 3,097.09/x
  3. Step 3: Cross multiply
    4,866.13x = 6,714.25 × 3,097.09
  4. Step 4: Simplify right side
    4,866.13x = 20,794,636.53
  5. Step 5: Solve for x
    x = 20,794,636.53/4,866.13
  6. Step 6: Final answer
    x = 4,273.34

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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.