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Finding the Fourth Proportional to 5,682.16, 8,515.68 and 2,754.64

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Solution

The fourth proportional to 5,682.16, 8,515.68 and 2,754.64 is: 4,128.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,682.16 : 8,515.68 = 2,754.64 : x
  2. Step 2: Convert to fraction form
    5,682.16/8,515.68 = 2,754.64/x
  3. Step 3: Cross multiply
    5,682.16x = 8,515.68 × 2,754.64
  4. Step 4: Simplify right side
    5,682.16x = 23,457,632.76
  5. Step 5: Solve for x
    x = 23,457,632.76/5,682.16
  6. Step 6: Final answer
    x = 4,128.30

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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.