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Finding the Fourth Proportional to 5,832.42, 8,742.56 and 2,544.63

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Solution

The fourth proportional to 5,832.42, 8,742.56 and 2,544.63 is: 3,814.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,832.42 : 8,742.56 = 2,544.63 : x
  2. Step 2: Convert to fraction form
    5,832.42/8,742.56 = 2,544.63/x
  3. Step 3: Cross multiply
    5,832.42x = 8,742.56 × 2,544.63
  4. Step 4: Simplify right side
    5,832.42x = 22,246,567.73
  5. Step 5: Solve for x
    x = 22,246,567.73/5,832.42
  6. Step 6: Final answer
    x = 3,814.29

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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.