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Finding the Fourth Proportional to 5,787.50, 7,986.90 and 3,548.09

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Solution

The fourth proportional to 5,787.50, 7,986.90 and 3,548.09 is: 4,896.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,787.50 : 7,986.90 = 3,548.09 : x
  2. Step 2: Convert to fraction form
    5,787.50/7,986.90 = 3,548.09/x
  3. Step 3: Cross multiply
    5,787.50x = 7,986.90 × 3,548.09
  4. Step 4: Simplify right side
    5,787.50x = 28,338,240.02
  5. Step 5: Solve for x
    x = 28,338,240.02/5,787.50
  6. Step 6: Final answer
    x = 4,896.46

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1.5x scale

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.