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Finding the Fourth Proportional to 4,097.58, 6,146.46 and 1,906.14

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Solution

The fourth proportional to 4,097.58, 6,146.46 and 1,906.14 is: 2,859.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,097.58 : 6,146.46 = 1,906.14 : x
  2. Step 2: Convert to fraction form
    4,097.58/6,146.46 = 1,906.14/x
  3. Step 3: Cross multiply
    4,097.58x = 6,146.46 × 1,906.14
  4. Step 4: Simplify right side
    4,097.58x = 11,716,013.26
  5. Step 5: Solve for x
    x = 11,716,013.26/4,097.58
  6. Step 6: Final answer
    x = 2,859.25

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.