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Finding the Fourth Proportional to 4,212.87, 5,816.46 and 3,770

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Solution

The fourth proportional to 4,212.87, 5,816.46 and 3,770 is: 5,205.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,212.87 : 5,816.46 = 3,770 : x
  2. Step 2: Convert to fraction form
    4,212.87/5,816.46 = 3,770/x
  3. Step 3: Cross multiply
    4,212.87x = 5,816.46 × 3,770
  4. Step 4: Simplify right side
    4,212.87x = 21,928,054.20
  5. Step 5: Solve for x
    x = 21,928,054.20/4,212.87
  6. Step 6: Final answer
    x = 5,205.02

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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.