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Finding the Fourth Proportional to 5,907.56, 8,855.94 and 3,828.32

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Solution

The fourth proportional to 5,907.56, 8,855.94 and 3,828.32 is: 5,738.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,907.56 : 8,855.94 = 3,828.32 : x
  2. Step 2: Convert to fraction form
    5,907.56/8,855.94 = 3,828.32/x
  3. Step 3: Cross multiply
    5,907.56x = 8,855.94 × 3,828.32
  4. Step 4: Simplify right side
    5,907.56x = 33,903,372.22
  5. Step 5: Solve for x
    x = 33,903,372.22/5,907.56
  6. Step 6: Final answer
    x = 5,738.98

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.