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Finding the Fourth Proportional to 3,458.99, 4,772.64 and 2,198.54

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Solution

The fourth proportional to 3,458.99, 4,772.64 and 2,198.54 is: 3,033.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,458.99 : 4,772.64 = 2,198.54 : x
  2. Step 2: Convert to fraction form
    3,458.99/4,772.64 = 2,198.54/x
  3. Step 3: Cross multiply
    3,458.99x = 4,772.64 × 2,198.54
  4. Step 4: Simplify right side
    3,458.99x = 10,492,839.95
  5. Step 5: Solve for x
    x = 10,492,839.95/3,458.99
  6. Step 6: Final answer
    x = 3,033.50

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.