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Finding the Fourth Proportional to 6,328.38, 8,736.51 and 4,091.53

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Solution

The fourth proportional to 6,328.38, 8,736.51 and 4,091.53 is: 5,648.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,328.38 : 8,736.51 = 4,091.53 : x
  2. Step 2: Convert to fraction form
    6,328.38/8,736.51 = 4,091.53/x
  3. Step 3: Cross multiply
    6,328.38x = 8,736.51 × 4,091.53
  4. Step 4: Simplify right side
    6,328.38x = 35,745,679.63
  5. Step 5: Solve for x
    x = 35,745,679.63/6,328.38
  6. Step 6: Final answer
    x = 5,648.47

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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.