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Finding the Fourth Proportional to 5,809, 8,016.42 and 3,156.40

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Solution

The fourth proportional to 5,809, 8,016.42 and 3,156.40 is: 4,355.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,809 : 8,016.42 = 3,156.40 : x
  2. Step 2: Convert to fraction form
    5,809/8,016.42 = 3,156.40/x
  3. Step 3: Cross multiply
    5,809x = 8,016.42 × 3,156.40
  4. Step 4: Simplify right side
    5,809x = 25,303,028.09
  5. Step 5: Solve for x
    x = 25,303,028.09/5,809
  6. Step 6: Final answer
    x = 4,355.83

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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.