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Finding the Fourth Proportional to 6,219.51, 8,583.12 and 3,567.75

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Solution

The fourth proportional to 6,219.51, 8,583.12 and 3,567.75 is: 4,923.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,219.51 : 8,583.12 = 3,567.75 : x
  2. Step 2: Convert to fraction form
    6,219.51/8,583.12 = 3,567.75/x
  3. Step 3: Cross multiply
    6,219.51x = 8,583.12 × 3,567.75
  4. Step 4: Simplify right side
    6,219.51x = 30,622,426.38
  5. Step 5: Solve for x
    x = 30,622,426.38/6,219.51
  6. Step 6: Final answer
    x = 4,923.61

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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.