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Finding the Fourth Proportional to 5,435.28, 8,167.50 and 5,274.90

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Solution

The fourth proportional to 5,435.28, 8,167.50 and 5,274.90 is: 7,926.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,435.28 : 8,167.50 = 5,274.90 : x
  2. Step 2: Convert to fraction form
    5,435.28/8,167.50 = 5,274.90/x
  3. Step 3: Cross multiply
    5,435.28x = 8,167.50 × 5,274.90
  4. Step 4: Simplify right side
    5,435.28x = 43,082,745.75
  5. Step 5: Solve for x
    x = 43,082,745.75/5,435.28
  6. Step 6: Final answer
    x = 7,926.50

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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.