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Finding the Fourth Proportional to 5,300.44, 7,934.86 and 3,214.16

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Solution

The fourth proportional to 5,300.44, 7,934.86 and 3,214.16 is: 4,811.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,300.44 : 7,934.86 = 3,214.16 : x
  2. Step 2: Convert to fraction form
    5,300.44/7,934.86 = 3,214.16/x
  3. Step 3: Cross multiply
    5,300.44x = 7,934.86 × 3,214.16
  4. Step 4: Simplify right side
    5,300.44x = 25,503,909.62
  5. Step 5: Solve for x
    x = 25,503,909.62/5,300.44
  6. Step 6: Final answer
    x = 4,811.66

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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.