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Finding the Fourth Proportional to 6,409.96, 8,845.86 and 3,759.28

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Solution

The fourth proportional to 6,409.96, 8,845.86 and 3,759.28 is: 5,187.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,409.96 : 8,845.86 = 3,759.28 : x
  2. Step 2: Convert to fraction form
    6,409.96/8,845.86 = 3,759.28/x
  3. Step 3: Cross multiply
    6,409.96x = 8,845.86 × 3,759.28
  4. Step 4: Simplify right side
    6,409.96x = 33,254,064.58
  5. Step 5: Solve for x
    x = 33,254,064.58/6,409.96
  6. Step 6: Final answer
    x = 5,187.87

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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.