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Finding the Fourth Proportional to 4,768.26, 6,580.06 and 2,672.38

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Solution

The fourth proportional to 4,768.26, 6,580.06 and 2,672.38 is: 3,687.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,768.26 : 6,580.06 = 2,672.38 : x
  2. Step 2: Convert to fraction form
    4,768.26/6,580.06 = 2,672.38/x
  3. Step 3: Cross multiply
    4,768.26x = 6,580.06 × 2,672.38
  4. Step 4: Simplify right side
    4,768.26x = 17,584,420.74
  5. Step 5: Solve for x
    x = 17,584,420.74/4,768.26
  6. Step 6: Final answer
    x = 3,687.81

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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.