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Finding the Fourth Proportional to 5,162.46, 7,692.88 and 4,850.78

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Solution

The fourth proportional to 5,162.46, 7,692.88 and 4,850.78 is: 7,228.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,162.46 : 7,692.88 = 4,850.78 : x
  2. Step 2: Convert to fraction form
    5,162.46/7,692.88 = 4,850.78/x
  3. Step 3: Cross multiply
    5,162.46x = 7,692.88 × 4,850.78
  4. Step 4: Simplify right side
    5,162.46x = 37,316,468.45
  5. Step 5: Solve for x
    x = 37,316,468.45/5,162.46
  6. Step 6: Final answer
    x = 7,228.43

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.