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Finding the Fourth Proportional to 3,546.54, 4,896.33 and 3,152.43

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Solution

The fourth proportional to 3,546.54, 4,896.33 and 3,152.43 is: 4,352.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,546.54 : 4,896.33 = 3,152.43 : x
  2. Step 2: Convert to fraction form
    3,546.54/4,896.33 = 3,152.43/x
  3. Step 3: Cross multiply
    3,546.54x = 4,896.33 × 3,152.43
  4. Step 4: Simplify right side
    3,546.54x = 15,435,325.76
  5. Step 5: Solve for x
    x = 15,435,325.76/3,546.54
  6. Step 6: Final answer
    x = 4,352.22

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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.