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Finding the Fourth Proportional to 5,492.16, 8,230.56 and 2,563.20

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Solution

The fourth proportional to 5,492.16, 8,230.56 and 2,563.20 is: 3,841.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,492.16 : 8,230.56 = 2,563.20 : x
  2. Step 2: Convert to fraction form
    5,492.16/8,230.56 = 2,563.20/x
  3. Step 3: Cross multiply
    5,492.16x = 8,230.56 × 2,563.20
  4. Step 4: Simplify right side
    5,492.16x = 21,096,571.39
  5. Step 5: Solve for x
    x = 21,096,571.39/5,492.16
  6. Step 6: Final answer
    x = 3,841.22

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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.