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Finding the Fourth Proportional to 4,097.87, 6,146.79 and 1,499.39

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Solution

The fourth proportional to 4,097.87, 6,146.79 and 1,499.39 is: 2,249.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,097.87 : 6,146.79 = 1,499.39 : x
  2. Step 2: Convert to fraction form
    4,097.87/6,146.79 = 1,499.39/x
  3. Step 3: Cross multiply
    4,097.87x = 6,146.79 × 1,499.39
  4. Step 4: Simplify right side
    4,097.87x = 9,216,404.72
  5. Step 5: Solve for x
    x = 9,216,404.72/4,097.87
  6. Step 6: Final answer
    x = 2,249.07

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Why These Related Problems?

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