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Finding the Fourth Proportional to 3,872.16, 5,808.72 and 1,563.12

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Solution

The fourth proportional to 3,872.16, 5,808.72 and 1,563.12 is: 2,344.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,872.16 : 5,808.72 = 1,563.12 : x
  2. Step 2: Convert to fraction form
    3,872.16/5,808.72 = 1,563.12/x
  3. Step 3: Cross multiply
    3,872.16x = 5,808.72 × 1,563.12
  4. Step 4: Simplify right side
    3,872.16x = 9,079,726.41
  5. Step 5: Solve for x
    x = 9,079,726.41/3,872.16
  6. Step 6: Final answer
    x = 2,344.87

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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.