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Finding the Fourth Proportional to 5,713.48, 8,570.22 and 1,764.64

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Solution

The fourth proportional to 5,713.48, 8,570.22 and 1,764.64 is: 2,646.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,713.48 : 8,570.22 = 1,764.64 : x
  2. Step 2: Convert to fraction form
    5,713.48/8,570.22 = 1,764.64/x
  3. Step 3: Cross multiply
    5,713.48x = 8,570.22 × 1,764.64
  4. Step 4: Simplify right side
    5,713.48x = 15,123,353.02
  5. Step 5: Solve for x
    x = 15,123,353.02/5,713.48
  6. Step 6: Final answer
    x = 2,646.96

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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.