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Finding the Fourth Proportional to 6,224.41, 8,594.03 and 3,867.61

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Solution

The fourth proportional to 6,224.41, 8,594.03 and 3,867.61 is: 5,340.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,224.41 : 8,594.03 = 3,867.61 : x
  2. Step 2: Convert to fraction form
    6,224.41/8,594.03 = 3,867.61/x
  3. Step 3: Cross multiply
    6,224.41x = 8,594.03 × 3,867.61
  4. Step 4: Simplify right side
    6,224.41x = 33,238,337.03
  5. Step 5: Solve for x
    x = 33,238,337.03/6,224.41
  6. Step 6: Final answer
    x = 5,340.00

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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.