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Finding the Fourth Proportional to 6,097.24, 8,414.58 and 3,739.06

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Solution

The fourth proportional to 6,097.24, 8,414.58 and 3,739.06 is: 5,160.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,097.24 : 8,414.58 = 3,739.06 : x
  2. Step 2: Convert to fraction form
    6,097.24/8,414.58 = 3,739.06/x
  3. Step 3: Cross multiply
    6,097.24x = 8,414.58 × 3,739.06
  4. Step 4: Simplify right side
    6,097.24x = 31,462,619.49
  5. Step 5: Solve for x
    x = 31,462,619.49/6,097.24
  6. Step 6: Final answer
    x = 5,160.14

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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.