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Finding the Fourth Proportional to 6,272.65, 8,656.32 and 3,619.54

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Solution

The fourth proportional to 6,272.65, 8,656.32 and 3,619.54 is: 4,995.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,272.65 : 8,656.32 = 3,619.54 : x
  2. Step 2: Convert to fraction form
    6,272.65/8,656.32 = 3,619.54/x
  3. Step 3: Cross multiply
    6,272.65x = 8,656.32 × 3,619.54
  4. Step 4: Simplify right side
    6,272.65x = 31,331,896.49
  5. Step 5: Solve for x
    x = 31,331,896.49/6,272.65
  6. Step 6: Final answer
    x = 4,995.00

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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.