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Finding the Fourth Proportional to 3,222.56, 4,447.08 and 1,825.28

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Solution

The fourth proportional to 3,222.56, 4,447.08 and 1,825.28 is: 2,518.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,222.56 : 4,447.08 = 1,825.28 : x
  2. Step 2: Convert to fraction form
    3,222.56/4,447.08 = 1,825.28/x
  3. Step 3: Cross multiply
    3,222.56x = 4,447.08 × 1,825.28
  4. Step 4: Simplify right side
    3,222.56x = 8,117,166.18
  5. Step 5: Solve for x
    x = 8,117,166.18/3,222.56
  6. Step 6: Final answer
    x = 2,518.86

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.