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Finding the Fourth Proportional to 5,969.76, 8,231.76 and 3,730.86

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Solution

The fourth proportional to 5,969.76, 8,231.76 and 3,730.86 is: 5,144.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,969.76 : 8,231.76 = 3,730.86 : x
  2. Step 2: Convert to fraction form
    5,969.76/8,231.76 = 3,730.86/x
  3. Step 3: Cross multiply
    5,969.76x = 8,231.76 × 3,730.86
  4. Step 4: Simplify right side
    5,969.76x = 30,711,544.11
  5. Step 5: Solve for x
    x = 30,711,544.11/5,969.76
  6. Step 6: Final answer
    x = 5,144.52

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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.