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Finding the Fourth Proportional to 4,004.69, 6,007.17 and 1,083.02

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Solution

The fourth proportional to 4,004.69, 6,007.17 and 1,083.02 is: 1,624.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,004.69 : 6,007.17 = 1,083.02 : x
  2. Step 2: Convert to fraction form
    4,004.69/6,007.17 = 1,083.02/x
  3. Step 3: Cross multiply
    4,004.69x = 6,007.17 × 1,083.02
  4. Step 4: Simplify right side
    4,004.69x = 6,505,885.25
  5. Step 5: Solve for x
    x = 6,505,885.25/4,004.69
  6. Step 6: Final answer
    x = 1,624.57

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.