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Finding the Fourth Proportional to 3,897.80, 5,847.40 and 2,048.40

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Solution

The fourth proportional to 3,897.80, 5,847.40 and 2,048.40 is: 3,072.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,897.80 : 5,847.40 = 2,048.40 : x
  2. Step 2: Convert to fraction form
    3,897.80/5,847.40 = 2,048.40/x
  3. Step 3: Cross multiply
    3,897.80x = 5,847.40 × 2,048.40
  4. Step 4: Simplify right side
    3,897.80x = 11,977,814.16
  5. Step 5: Solve for x
    x = 11,977,814.16/3,897.80
  6. Step 6: Final answer
    x = 3,072.97

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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.