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Finding the Fourth Proportional to 5,137.86, 7,707.27 and 2,365.31

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Solution

The fourth proportional to 5,137.86, 7,707.27 and 2,365.31 is: 3,548.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,137.86 : 7,707.27 = 2,365.31 : x
  2. Step 2: Convert to fraction form
    5,137.86/7,707.27 = 2,365.31/x
  3. Step 3: Cross multiply
    5,137.86x = 7,707.27 × 2,365.31
  4. Step 4: Simplify right side
    5,137.86x = 18,230,044.27
  5. Step 5: Solve for x
    x = 18,230,044.27/5,137.86
  6. Step 6: Final answer
    x = 3,548.18

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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.