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Finding the Fourth Proportional to 5,787.86, 7,987.23 and 3,135.33

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Solution

The fourth proportional to 5,787.86, 7,987.23 and 3,135.33 is: 4,326.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,787.86 : 7,987.23 = 3,135.33 : x
  2. Step 2: Convert to fraction form
    5,787.86/7,987.23 = 3,135.33/x
  3. Step 3: Cross multiply
    5,787.86x = 7,987.23 × 3,135.33
  4. Step 4: Simplify right side
    5,787.86x = 25,042,601.84
  5. Step 5: Solve for x
    x = 25,042,601.84/5,787.86
  6. Step 6: Final answer
    x = 4,326.75

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.