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Finding the Fourth Proportional to 5,787.96, 7,987.37 and 3,135.41

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Solution

The fourth proportional to 5,787.96, 7,987.37 and 3,135.41 is: 4,326.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,787.96 : 7,987.37 = 3,135.41 : x
  2. Step 2: Convert to fraction form
    5,787.96/7,987.37 = 3,135.41/x
  3. Step 3: Cross multiply
    5,787.96x = 7,987.37 × 3,135.41
  4. Step 4: Simplify right side
    5,787.96x = 25,043,695.82
  5. Step 5: Solve for x
    x = 25,043,695.82/5,787.96
  6. Step 6: Final answer
    x = 4,326.86

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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.