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Finding the Fourth Proportional to 5,230.50, 7,847.78 and 1,767.75

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Solution

The fourth proportional to 5,230.50, 7,847.78 and 1,767.75 is: 2,652.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,230.50 : 7,847.78 = 1,767.75 : x
  2. Step 2: Convert to fraction form
    5,230.50/7,847.78 = 1,767.75/x
  3. Step 3: Cross multiply
    5,230.50x = 7,847.78 × 1,767.75
  4. Step 4: Simplify right side
    5,230.50x = 13,872,904.26
  5. Step 5: Solve for x
    x = 13,872,904.26/5,230.50
  6. Step 6: Final answer
    x = 2,652.31

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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.