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Finding the Fourth Proportional to 3,790.46, 5,675.67 and 2,964.87

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Solution

The fourth proportional to 3,790.46, 5,675.67 and 2,964.87 is: 4,439.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,790.46 : 5,675.67 = 2,964.87 : x
  2. Step 2: Convert to fraction form
    3,790.46/5,675.67 = 2,964.87/x
  3. Step 3: Cross multiply
    3,790.46x = 5,675.67 × 2,964.87
  4. Step 4: Simplify right side
    3,790.46x = 16,827,623.71
  5. Step 5: Solve for x
    x = 16,827,623.71/3,790.46
  6. Step 6: Final answer
    x = 4,439.46

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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.