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Finding the Fourth Proportional to 5,633.50, 7,774.50 and 3,149.50

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Solution

The fourth proportional to 5,633.50, 7,774.50 and 3,149.50 is: 4,346.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,633.50 : 7,774.50 = 3,149.50 : x
  2. Step 2: Convert to fraction form
    5,633.50/7,774.50 = 3,149.50/x
  3. Step 3: Cross multiply
    5,633.50x = 7,774.50 × 3,149.50
  4. Step 4: Simplify right side
    5,633.50x = 24,485,787.75
  5. Step 5: Solve for x
    x = 24,485,787.75/5,633.50
  6. Step 6: Final answer
    x = 4,346.46

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.