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Finding the Fourth Proportional to 5,449.28, 8,172.02 and 1,552.64

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Solution

The fourth proportional to 5,449.28, 8,172.02 and 1,552.64 is: 2,328.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,449.28 : 8,172.02 = 1,552.64 : x
  2. Step 2: Convert to fraction form
    5,449.28/8,172.02 = 1,552.64/x
  3. Step 3: Cross multiply
    5,449.28x = 8,172.02 × 1,552.64
  4. Step 4: Simplify right side
    5,449.28x = 12,688,205.13
  5. Step 5: Solve for x
    x = 12,688,205.13/5,449.28
  6. Step 6: Final answer
    x = 2,328.42

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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.