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Finding the Fourth Proportional to 6,277.38, 8,663.32 and 3,445.30

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Solution

The fourth proportional to 6,277.38, 8,663.32 and 3,445.30 is: 4,754.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,277.38 : 8,663.32 = 3,445.30 : x
  2. Step 2: Convert to fraction form
    6,277.38/8,663.32 = 3,445.30/x
  3. Step 3: Cross multiply
    6,277.38x = 8,663.32 × 3,445.30
  4. Step 4: Simplify right side
    6,277.38x = 29,847,736.40
  5. Step 5: Solve for x
    x = 29,847,736.40/6,277.38
  6. Step 6: Final answer
    x = 4,754.81

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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.