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Finding the Fourth Proportional to 3,840, 5,764.84 and 3,266.52

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Solution

The fourth proportional to 3,840, 5,764.84 and 3,266.52 is: 4,903.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,840 : 5,764.84 = 3,266.52 : x
  2. Step 2: Convert to fraction form
    3,840/5,764.84 = 3,266.52/x
  3. Step 3: Cross multiply
    3,840x = 5,764.84 × 3,266.52
  4. Step 4: Simplify right side
    3,840x = 18,830,965.16
  5. Step 5: Solve for x
    x = 18,830,965.16/3,840
  6. Step 6: Final answer
    x = 4,903.90

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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.