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Finding the Fourth Proportional to 3,693.69, 5,538.91 and 1,383.57

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Solution

The fourth proportional to 3,693.69, 5,538.91 and 1,383.57 is: 2,074.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,693.69 : 5,538.91 = 1,383.57 : x
  2. Step 2: Convert to fraction form
    3,693.69/5,538.91 = 1,383.57/x
  3. Step 3: Cross multiply
    3,693.69x = 5,538.91 × 1,383.57
  4. Step 4: Simplify right side
    3,693.69x = 7,663,435.10
  5. Step 5: Solve for x
    x = 7,663,435.10/3,693.69
  6. Step 6: Final answer
    x = 2,074.74

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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.