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Finding the Fourth Proportional to 5,969.94, 8,242.62 and 3,732.90

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Solution

The fourth proportional to 5,969.94, 8,242.62 and 3,732.90 is: 5,153.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,969.94 : 8,242.62 = 3,732.90 : x
  2. Step 2: Convert to fraction form
    5,969.94/8,242.62 = 3,732.90/x
  3. Step 3: Cross multiply
    5,969.94x = 8,242.62 × 3,732.90
  4. Step 4: Simplify right side
    5,969.94x = 30,768,876.20
  5. Step 5: Solve for x
    x = 30,768,876.20/5,969.94
  6. Step 6: Final answer
    x = 5,153.97

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.