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Finding the Fourth Proportional to 5,200.37, 7,795.68 and 1,912.58

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Solution

The fourth proportional to 5,200.37, 7,795.68 and 1,912.58 is: 2,867.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,200.37 : 7,795.68 = 1,912.58 : x
  2. Step 2: Convert to fraction form
    5,200.37/7,795.68 = 1,912.58/x
  3. Step 3: Cross multiply
    5,200.37x = 7,795.68 × 1,912.58
  4. Step 4: Simplify right side
    5,200.37x = 14,909,822.68
  5. Step 5: Solve for x
    x = 14,909,822.68/5,200.37
  6. Step 6: Final answer
    x = 2,867.07

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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.