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Finding the Fourth Proportional to 5,478.37, 8,212.02 and 3,137.56

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Solution

The fourth proportional to 5,478.37, 8,212.02 and 3,137.56 is: 4,703.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,478.37 : 8,212.02 = 3,137.56 : x
  2. Step 2: Convert to fraction form
    5,478.37/8,212.02 = 3,137.56/x
  3. Step 3: Cross multiply
    5,478.37x = 8,212.02 × 3,137.56
  4. Step 4: Simplify right side
    5,478.37x = 25,765,705.47
  5. Step 5: Solve for x
    x = 25,765,705.47/5,478.37
  6. Step 6: Final answer
    x = 4,703.17

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.