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Finding the Fourth Proportional to 5,672.06, 7,827.45 and 3,188.06

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Solution

The fourth proportional to 5,672.06, 7,827.45 and 3,188.06 is: 4,399.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,672.06 : 7,827.45 = 3,188.06 : x
  2. Step 2: Convert to fraction form
    5,672.06/7,827.45 = 3,188.06/x
  3. Step 3: Cross multiply
    5,672.06x = 7,827.45 × 3,188.06
  4. Step 4: Simplify right side
    5,672.06x = 24,954,399.82
  5. Step 5: Solve for x
    x = 24,954,399.82/5,672.06
  6. Step 6: Final answer
    x = 4,399.53

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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.