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Finding the Fourth Proportional to 4,659.73, 6,429.38 and 3,401.47

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Solution

The fourth proportional to 4,659.73, 6,429.38 and 3,401.47 is: 4,693.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,659.73 : 6,429.38 = 3,401.47 : x
  2. Step 2: Convert to fraction form
    4,659.73/6,429.38 = 3,401.47/x
  3. Step 3: Cross multiply
    4,659.73x = 6,429.38 × 3,401.47
  4. Step 4: Simplify right side
    4,659.73x = 21,869,334.22
  5. Step 5: Solve for x
    x = 21,869,334.22/4,659.73
  6. Step 6: Final answer
    x = 4,693.26

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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.