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Finding the Fourth Proportional to 3,897.89, 5,846.84 and 1,300.83

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Solution

The fourth proportional to 3,897.89, 5,846.84 and 1,300.83 is: 1,951.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,897.89 : 5,846.84 = 1,300.83 : x
  2. Step 2: Convert to fraction form
    3,897.89/5,846.84 = 1,300.83/x
  3. Step 3: Cross multiply
    3,897.89x = 5,846.84 × 1,300.83
  4. Step 4: Simplify right side
    3,897.89x = 7,605,738.37
  5. Step 5: Solve for x
    x = 7,605,738.37/3,897.89
  6. Step 6: Final answer
    x = 1,951.25

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Similar ratio
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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.