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Finding the Fourth Proportional to 5,438, 8,154.84 and 2,662.64

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Solution

The fourth proportional to 5,438, 8,154.84 and 2,662.64 is: 3,992.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,438 : 8,154.84 = 2,662.64 : x
  2. Step 2: Convert to fraction form
    5,438/8,154.84 = 2,662.64/x
  3. Step 3: Cross multiply
    5,438x = 8,154.84 × 2,662.64
  4. Step 4: Simplify right side
    5,438x = 21,713,403.18
  5. Step 5: Solve for x
    x = 21,713,403.18/5,438
  6. Step 6: Final answer
    x = 3,992.90

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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.