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Finding the Fourth Proportional to 4,563.72, 6,847.20 and 1,966.32

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Solution

The fourth proportional to 4,563.72, 6,847.20 and 1,966.32 is: 2,950.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,563.72 : 6,847.20 = 1,966.32 : x
  2. Step 2: Convert to fraction form
    4,563.72/6,847.20 = 1,966.32/x
  3. Step 3: Cross multiply
    4,563.72x = 6,847.20 × 1,966.32
  4. Step 4: Simplify right side
    4,563.72x = 13,463,786.30
  5. Step 5: Solve for x
    x = 13,463,786.30/4,563.72
  6. Step 6: Final answer
    x = 2,950.18

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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.