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Finding the Fourth Proportional to 5,344.96, 8,011.92 and 2,567.44

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Solution

The fourth proportional to 5,344.96, 8,011.92 and 2,567.44 is: 3,848.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,344.96 : 8,011.92 = 2,567.44 : x
  2. Step 2: Convert to fraction form
    5,344.96/8,011.92 = 2,567.44/x
  3. Step 3: Cross multiply
    5,344.96x = 8,011.92 × 2,567.44
  4. Step 4: Simplify right side
    5,344.96x = 20,570,123.88
  5. Step 5: Solve for x
    x = 20,570,123.88/5,344.96
  6. Step 6: Final answer
    x = 3,848.51

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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.