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Finding the Fourth Proportional to 4,698.64, 6,489.44 and 3,203.98

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Solution

The fourth proportional to 4,698.64, 6,489.44 and 3,203.98 is: 4,425.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,698.64 : 6,489.44 = 3,203.98 : x
  2. Step 2: Convert to fraction form
    4,698.64/6,489.44 = 3,203.98/x
  3. Step 3: Cross multiply
    4,698.64x = 6,489.44 × 3,203.98
  4. Step 4: Simplify right side
    4,698.64x = 20,792,035.97
  5. Step 5: Solve for x
    x = 20,792,035.97/4,698.64
  6. Step 6: Final answer
    x = 4,425.12

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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.