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Finding the Fourth Proportional to 3,093.70, 4,657.42 and 2,821.54

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Solution

The fourth proportional to 3,093.70, 4,657.42 and 2,821.54 is: 4,247.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,093.70 : 4,657.42 = 2,821.54 : x
  2. Step 2: Convert to fraction form
    3,093.70/4,657.42 = 2,821.54/x
  3. Step 3: Cross multiply
    3,093.70x = 4,657.42 × 2,821.54
  4. Step 4: Simplify right side
    3,093.70x = 13,141,096.83
  5. Step 5: Solve for x
    x = 13,141,096.83/3,093.70
  6. Step 6: Final answer
    x = 4,247.70

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.