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Finding the Fourth Proportional to 5,713.75, 8,572.07 and 1,609.75

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Solution

The fourth proportional to 5,713.75, 8,572.07 and 1,609.75 is: 2,415.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,713.75 : 8,572.07 = 1,609.75 : x
  2. Step 2: Convert to fraction form
    5,713.75/8,572.07 = 1,609.75/x
  3. Step 3: Cross multiply
    5,713.75x = 8,572.07 × 1,609.75
  4. Step 4: Simplify right side
    5,713.75x = 13,798,889.68
  5. Step 5: Solve for x
    x = 13,798,889.68/5,713.75
  6. Step 6: Final answer
    x = 2,415.03

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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.