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Finding the Fourth Proportional to 5,890.96, 8,129.68 and 3,202.36

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Solution

The fourth proportional to 5,890.96, 8,129.68 and 3,202.36 is: 4,419.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,890.96 : 8,129.68 = 3,202.36 : x
  2. Step 2: Convert to fraction form
    5,890.96/8,129.68 = 3,202.36/x
  3. Step 3: Cross multiply
    5,890.96x = 8,129.68 × 3,202.36
  4. Step 4: Simplify right side
    5,890.96x = 26,034,115.41
  5. Step 5: Solve for x
    x = 26,034,115.41/5,890.96
  6. Step 6: Final answer
    x = 4,419.34

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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.