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Finding the Fourth Proportional to 3,983.38, 5,973 and 1,385.74

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Solution

The fourth proportional to 3,983.38, 5,973 and 1,385.74 is: 2,077.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,983.38 : 5,973 = 1,385.74 : x
  2. Step 2: Convert to fraction form
    3,983.38/5,973 = 1,385.74/x
  3. Step 3: Cross multiply
    3,983.38x = 5,973 × 1,385.74
  4. Step 4: Simplify right side
    3,983.38x = 8,277,025.02
  5. Step 5: Solve for x
    x = 8,277,025.02/3,983.38
  6. Step 6: Final answer
    x = 2,077.89

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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.