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Finding the Fourth Proportional to 5,438.92, 7,503.42 and 3,667.48

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Solution

The fourth proportional to 5,438.92, 7,503.42 and 3,667.48 is: 5,059.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,438.92 : 7,503.42 = 3,667.48 : x
  2. Step 2: Convert to fraction form
    5,438.92/7,503.42 = 3,667.48/x
  3. Step 3: Cross multiply
    5,438.92x = 7,503.42 × 3,667.48
  4. Step 4: Simplify right side
    5,438.92x = 27,518,642.78
  5. Step 5: Solve for x
    x = 27,518,642.78/5,438.92
  6. Step 6: Final answer
    x = 5,059.58

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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.