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Finding the Fourth Proportional to 5,787.68, 7,986.99 and 3,135.08

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Solution

The fourth proportional to 5,787.68, 7,986.99 and 3,135.08 is: 4,326.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,787.68 : 7,986.99 = 3,135.08 : x
  2. Step 2: Convert to fraction form
    5,787.68/7,986.99 = 3,135.08/x
  3. Step 3: Cross multiply
    5,787.68x = 7,986.99 × 3,135.08
  4. Step 4: Simplify right side
    5,787.68x = 25,039,852.61
  5. Step 5: Solve for x
    x = 25,039,852.61/5,787.68
  6. Step 6: Final answer
    x = 4,326.41

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Why These Related Problems?

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