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Finding the Fourth Proportional to 5,769.36, 8,656.47 and 2,438.44

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Solution

The fourth proportional to 5,769.36, 8,656.47 and 2,438.44 is: 3,658.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,769.36 : 8,656.47 = 2,438.44 : x
  2. Step 2: Convert to fraction form
    5,769.36/8,656.47 = 2,438.44/x
  3. Step 3: Cross multiply
    5,769.36x = 8,656.47 × 2,438.44
  4. Step 4: Simplify right side
    5,769.36x = 21,108,261.07
  5. Step 5: Solve for x
    x = 21,108,261.07/5,769.36
  6. Step 6: Final answer
    x = 3,658.68

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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.