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Finding the Fourth Proportional to 5,584.96, 7,707.30 and 3,195.40

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Solution

The fourth proportional to 5,584.96, 7,707.30 and 3,195.40 is: 4,409.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,584.96 : 7,707.30 = 3,195.40 : x
  2. Step 2: Convert to fraction form
    5,584.96/7,707.30 = 3,195.40/x
  3. Step 3: Cross multiply
    5,584.96x = 7,707.30 × 3,195.40
  4. Step 4: Simplify right side
    5,584.96x = 24,627,906.42
  5. Step 5: Solve for x
    x = 24,627,906.42/5,584.96
  6. Step 6: Final answer
    x = 4,409.68

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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.