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Finding the Fourth Proportional to 5,865.45, 8,094.47 and 3,212.86

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Solution

The fourth proportional to 5,865.45, 8,094.47 and 3,212.86 is: 4,433.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,865.45 : 8,094.47 = 3,212.86 : x
  2. Step 2: Convert to fraction form
    5,865.45/8,094.47 = 3,212.86/x
  3. Step 3: Cross multiply
    5,865.45x = 8,094.47 × 3,212.86
  4. Step 4: Simplify right side
    5,865.45x = 26,006,362.58
  5. Step 5: Solve for x
    x = 26,006,362.58/5,865.45
  6. Step 6: Final answer
    x = 4,433.82

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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.