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Finding the Fourth Proportional to 3,980.09, 5,970.13 and 1,383.05

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Solution

The fourth proportional to 3,980.09, 5,970.13 and 1,383.05 is: 2,074.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,980.09 : 5,970.13 = 1,383.05 : x
  2. Step 2: Convert to fraction form
    3,980.09/5,970.13 = 1,383.05/x
  3. Step 3: Cross multiply
    3,980.09x = 5,970.13 × 1,383.05
  4. Step 4: Simplify right side
    3,980.09x = 8,256,988.30
  5. Step 5: Solve for x
    x = 8,256,988.30/3,980.09
  6. Step 6: Final answer
    x = 2,074.57

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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.