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Finding the Fourth Proportional to 5,092.86, 7,637.56 and 1,805.46

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Solution

The fourth proportional to 5,092.86, 7,637.56 and 1,805.46 is: 2,707.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,092.86 : 7,637.56 = 1,805.46 : x
  2. Step 2: Convert to fraction form
    5,092.86/7,637.56 = 1,805.46/x
  3. Step 3: Cross multiply
    5,092.86x = 7,637.56 × 1,805.46
  4. Step 4: Simplify right side
    5,092.86x = 13,789,309.08
  5. Step 5: Solve for x
    x = 13,789,309.08/5,092.86
  6. Step 6: Final answer
    x = 2,707.58

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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.