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Finding the Fourth Proportional to 4,986.93, 7,474.55 and 3,205.71

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Solution

The fourth proportional to 4,986.93, 7,474.55 and 3,205.71 is: 4,804.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,986.93 : 7,474.55 = 3,205.71 : x
  2. Step 2: Convert to fraction form
    4,986.93/7,474.55 = 3,205.71/x
  3. Step 3: Cross multiply
    4,986.93x = 7,474.55 × 3,205.71
  4. Step 4: Simplify right side
    4,986.93x = 23,961,250.35
  5. Step 5: Solve for x
    x = 23,961,250.35/4,986.93
  6. Step 6: Final answer
    x = 4,804.81

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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.