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Finding the Fourth Proportional to 6,299.40, 8,698.68 and 3,945.60

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Solution

The fourth proportional to 6,299.40, 8,698.68 and 3,945.60 is: 5,448.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,299.40 : 8,698.68 = 3,945.60 : x
  2. Step 2: Convert to fraction form
    6,299.40/8,698.68 = 3,945.60/x
  3. Step 3: Cross multiply
    6,299.40x = 8,698.68 × 3,945.60
  4. Step 4: Simplify right side
    6,299.40x = 34,321,511.81
  5. Step 5: Solve for x
    x = 34,321,511.81/6,299.40
  6. Step 6: Final answer
    x = 5,448.38

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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.