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Finding the Fourth Proportional to 3,047.99, 4,573.86 and 1,198.79

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Solution

The fourth proportional to 3,047.99, 4,573.86 and 1,198.79 is: 1,798.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,047.99 : 4,573.86 = 1,198.79 : x
  2. Step 2: Convert to fraction form
    3,047.99/4,573.86 = 1,198.79/x
  3. Step 3: Cross multiply
    3,047.99x = 4,573.86 × 1,198.79
  4. Step 4: Simplify right side
    3,047.99x = 5,483,074.76
  5. Step 5: Solve for x
    x = 5,483,074.76/3,047.99
  6. Step 6: Final answer
    x = 1,798.92

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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.