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Finding the Fourth Proportional to 3,546.36, 4,893.74 and 2,220

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Solution

The fourth proportional to 3,546.36, 4,893.74 and 2,220 is: 3,063.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,546.36 : 4,893.74 = 2,220 : x
  2. Step 2: Convert to fraction form
    3,546.36/4,893.74 = 2,220/x
  3. Step 3: Cross multiply
    3,546.36x = 4,893.74 × 2,220
  4. Step 4: Simplify right side
    3,546.36x = 10,864,102.80
  5. Step 5: Solve for x
    x = 10,864,102.80/3,546.36
  6. Step 6: Final answer
    x = 3,063.45

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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.