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Finding the Fourth Proportional to 3,709.92, 5,538.36 and 3,580.12

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Solution

The fourth proportional to 3,709.92, 5,538.36 and 3,580.12 is: 5,344.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,709.92 : 5,538.36 = 3,580.12 : x
  2. Step 2: Convert to fraction form
    3,709.92/5,538.36 = 3,580.12/x
  3. Step 3: Cross multiply
    3,709.92x = 5,538.36 × 3,580.12
  4. Step 4: Simplify right side
    3,709.92x = 19,827,975.50
  5. Step 5: Solve for x
    x = 19,827,975.50/3,709.92
  6. Step 6: Final answer
    x = 5,344.59

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.