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Finding the Fourth Proportional to 4,984.82, 6,829.23 and 4,797.98

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Solution

The fourth proportional to 4,984.82, 6,829.23 and 4,797.98 is: 6,573.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,984.82 : 6,829.23 = 4,797.98 : x
  2. Step 2: Convert to fraction form
    4,984.82/6,829.23 = 4,797.98/x
  3. Step 3: Cross multiply
    4,984.82x = 6,829.23 × 4,797.98
  4. Step 4: Simplify right side
    4,984.82x = 32,766,474.81
  5. Step 5: Solve for x
    x = 32,766,474.81/4,984.82
  6. Step 6: Final answer
    x = 6,573.26

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These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.