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Finding the Fourth Proportional to 5,189.40, 7,783.29 and 1,900.80

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Solution

The fourth proportional to 5,189.40, 7,783.29 and 1,900.80 is: 2,850.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,189.40 : 7,783.29 = 1,900.80 : x
  2. Step 2: Convert to fraction form
    5,189.40/7,783.29 = 1,900.80/x
  3. Step 3: Cross multiply
    5,189.40x = 7,783.29 × 1,900.80
  4. Step 4: Simplify right side
    5,189.40x = 14,794,477.63
  5. Step 5: Solve for x
    x = 14,794,477.63/5,189.40
  6. Step 6: Final answer
    x = 2,850.90

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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.