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Finding the Fourth Proportional to 4,771.50, 6,584.76 and 2,675.76

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Solution

The fourth proportional to 4,771.50, 6,584.76 and 2,675.76 is: 3,692.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,771.50 : 6,584.76 = 2,675.76 : x
  2. Step 2: Convert to fraction form
    4,771.50/6,584.76 = 2,675.76/x
  3. Step 3: Cross multiply
    4,771.50x = 6,584.76 × 2,675.76
  4. Step 4: Simplify right side
    4,771.50x = 17,619,237.42
  5. Step 5: Solve for x
    x = 17,619,237.42/4,771.50
  6. Step 6: Final answer
    x = 3,692.60

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