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Finding the Fourth Proportional to 5,188.88, 7,783.37 and 1,293.27

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Solution

The fourth proportional to 5,188.88, 7,783.37 and 1,293.27 is: 1,939.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,188.88 : 7,783.37 = 1,293.27 : x
  2. Step 2: Convert to fraction form
    5,188.88/7,783.37 = 1,293.27/x
  3. Step 3: Cross multiply
    5,188.88x = 7,783.37 × 1,293.27
  4. Step 4: Simplify right side
    5,188.88x = 10,065,992.45
  5. Step 5: Solve for x
    x = 10,065,992.45/5,188.88
  6. Step 6: Final answer
    x = 1,939.92

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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.