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Finding the Fourth Proportional to 4,771.82, 6,585.12 and 2,675.95

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Solution

The fourth proportional to 4,771.82, 6,585.12 and 2,675.95 is: 3,692.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,771.82 : 6,585.12 = 2,675.95 : x
  2. Step 2: Convert to fraction form
    4,771.82/6,585.12 = 2,675.95/x
  3. Step 3: Cross multiply
    4,771.82x = 6,585.12 × 2,675.95
  4. Step 4: Simplify right side
    4,771.82x = 17,621,451.86
  5. Step 5: Solve for x
    x = 17,621,451.86/4,771.82
  6. Step 6: Final answer
    x = 3,692.82

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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.