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Finding the Fourth Proportional to 4,708.47, 7,062.75 and 1,198.49

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Solution

The fourth proportional to 4,708.47, 7,062.75 and 1,198.49 is: 1,797.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,708.47 : 7,062.75 = 1,198.49 : x
  2. Step 2: Convert to fraction form
    4,708.47/7,062.75 = 1,198.49/x
  3. Step 3: Cross multiply
    4,708.47x = 7,062.75 × 1,198.49
  4. Step 4: Simplify right side
    4,708.47x = 8,464,599.93
  5. Step 5: Solve for x
    x = 8,464,599.93/4,708.47
  6. Step 6: Final answer
    x = 1,797.74

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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.