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Finding the Fourth Proportional to 5,787.63, 7,987.07 and 3,548.22

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Solution

The fourth proportional to 5,787.63, 7,987.07 and 3,548.22 is: 4,896.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,787.63 : 7,987.07 = 3,548.22 : x
  2. Step 2: Convert to fraction form
    5,787.63/7,987.07 = 3,548.22/x
  3. Step 3: Cross multiply
    5,787.63x = 7,987.07 × 3,548.22
  4. Step 4: Simplify right side
    5,787.63x = 28,339,860.43
  5. Step 5: Solve for x
    x = 28,339,860.43/5,787.63
  6. Step 6: Final answer
    x = 4,896.63

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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.