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Finding the Fourth Proportional to 5,137.84, 7,692.44 and 3,284.38

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Solution

The fourth proportional to 5,137.84, 7,692.44 and 3,284.38 is: 4,917.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,137.84 : 7,692.44 = 3,284.38 : x
  2. Step 2: Convert to fraction form
    5,137.84/7,692.44 = 3,284.38/x
  3. Step 3: Cross multiply
    5,137.84x = 7,692.44 × 3,284.38
  4. Step 4: Simplify right side
    5,137.84x = 25,264,885.07
  5. Step 5: Solve for x
    x = 25,264,885.07/5,137.84
  6. Step 6: Final answer
    x = 4,917.42

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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.