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Finding the Fourth Proportional to 3,782.46, 5,666.94 and 3,228.96

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Solution

The fourth proportional to 3,782.46, 5,666.94 and 3,228.96 is: 4,837.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,782.46 : 5,666.94 = 3,228.96 : x
  2. Step 2: Convert to fraction form
    3,782.46/5,666.94 = 3,228.96/x
  3. Step 3: Cross multiply
    3,782.46x = 5,666.94 × 3,228.96
  4. Step 4: Simplify right side
    3,782.46x = 18,298,322.58
  5. Step 5: Solve for x
    x = 18,298,322.58/3,782.46
  6. Step 6: Final answer
    x = 4,837.68

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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.