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Finding the Fourth Proportional to 4,766.58, 7,142.06 and 4,584.33

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Solution

The fourth proportional to 4,766.58, 7,142.06 and 4,584.33 is: 6,868.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,766.58 : 7,142.06 = 4,584.33 : x
  2. Step 2: Convert to fraction form
    4,766.58/7,142.06 = 4,584.33/x
  3. Step 3: Cross multiply
    4,766.58x = 7,142.06 × 4,584.33
  4. Step 4: Simplify right side
    4,766.58x = 32,741,559.92
  5. Step 5: Solve for x
    x = 32,741,559.92/4,766.58
  6. Step 6: Final answer
    x = 6,868.98

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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.