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Finding the Fourth Proportional to 6,277.80, 8,663.38 and 3,445.41

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Solution

The fourth proportional to 6,277.80, 8,663.38 and 3,445.41 is: 4,754.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,277.80 : 8,663.38 = 3,445.41 : x
  2. Step 2: Convert to fraction form
    6,277.80/8,663.38 = 3,445.41/x
  3. Step 3: Cross multiply
    6,277.80x = 8,663.38 × 3,445.41
  4. Step 4: Simplify right side
    6,277.80x = 29,848,896.09
  5. Step 5: Solve for x
    x = 29,848,896.09/6,277.80
  6. Step 6: Final answer
    x = 4,754.67

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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.