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Finding the Fourth Proportional to 4,639.69, 6,403.79 and 3,629.39

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Solution

The fourth proportional to 4,639.69, 6,403.79 and 3,629.39 is: 5,009.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,639.69 : 6,403.79 = 3,629.39 : x
  2. Step 2: Convert to fraction form
    4,639.69/6,403.79 = 3,629.39/x
  3. Step 3: Cross multiply
    4,639.69x = 6,403.79 × 3,629.39
  4. Step 4: Simplify right side
    4,639.69x = 23,241,876.47
  5. Step 5: Solve for x
    x = 23,241,876.47/4,639.69
  6. Step 6: Final answer
    x = 5,009.36

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.