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Finding the Fourth Proportional to 6,329.92, 8,735.68 and 3,497.28

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Solution

The fourth proportional to 6,329.92, 8,735.68 and 3,497.28 is: 4,826.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,329.92 : 8,735.68 = 3,497.28 : x
  2. Step 2: Convert to fraction form
    6,329.92/8,735.68 = 3,497.28/x
  3. Step 3: Cross multiply
    6,329.92x = 8,735.68 × 3,497.28
  4. Step 4: Simplify right side
    6,329.92x = 30,551,118.95
  5. Step 5: Solve for x
    x = 30,551,118.95/6,329.92
  6. Step 6: Final answer
    x = 4,826.46

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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.