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Finding the Fourth Proportional to 6,072.88, 8,378.76 and 3,712.60

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Solution

The fourth proportional to 6,072.88, 8,378.76 and 3,712.60 is: 5,122.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,072.88 : 8,378.76 = 3,712.60 : x
  2. Step 2: Convert to fraction form
    6,072.88/8,378.76 = 3,712.60/x
  3. Step 3: Cross multiply
    6,072.88x = 8,378.76 × 3,712.60
  4. Step 4: Simplify right side
    6,072.88x = 31,106,984.38
  5. Step 5: Solve for x
    x = 31,106,984.38/6,072.88
  6. Step 6: Final answer
    x = 5,122.28

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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.