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Finding the Fourth Proportional to 6,477.50, 8,938.83 and 3,825.15

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Solution

The fourth proportional to 6,477.50, 8,938.83 and 3,825.15 is: 5,278.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,477.50 : 8,938.83 = 3,825.15 : x
  2. Step 2: Convert to fraction form
    6,477.50/8,938.83 = 3,825.15/x
  3. Step 3: Cross multiply
    6,477.50x = 8,938.83 × 3,825.15
  4. Step 4: Simplify right side
    6,477.50x = 34,192,365.57
  5. Step 5: Solve for x
    x = 34,192,365.57/6,477.50
  6. Step 6: Final answer
    x = 5,278.64

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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.