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Finding the Fourth Proportional to 5,713.96, 8,570.94 and 1,609.96

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Solution

The fourth proportional to 5,713.96, 8,570.94 and 1,609.96 is: 2,414.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,713.96 : 8,570.94 = 1,609.96 : x
  2. Step 2: Convert to fraction form
    5,713.96/8,570.94 = 1,609.96/x
  3. Step 3: Cross multiply
    5,713.96x = 8,570.94 × 1,609.96
  4. Step 4: Simplify right side
    5,713.96x = 13,798,870.56
  5. Step 5: Solve for x
    x = 13,798,870.56/5,713.96
  6. Step 6: Final answer
    x = 2,414.94

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Similar ratio
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1.5x scale

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.