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Finding the Fourth Proportional to 4,097.70, 6,148.71 and 2,367.54

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Solution

The fourth proportional to 4,097.70, 6,148.71 and 2,367.54 is: 3,552.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,097.70 : 6,148.71 = 2,367.54 : x
  2. Step 2: Convert to fraction form
    4,097.70/6,148.71 = 2,367.54/x
  3. Step 3: Cross multiply
    4,097.70x = 6,148.71 × 2,367.54
  4. Step 4: Simplify right side
    4,097.70x = 14,557,316.87
  5. Step 5: Solve for x
    x = 14,557,316.87/4,097.70
  6. Step 6: Final answer
    x = 3,552.56

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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.