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Finding the Fourth Proportional to 4,103.54, 5,667.60 and 2,989.46

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Solution

The fourth proportional to 4,103.54, 5,667.60 and 2,989.46 is: 4,128.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,103.54 : 5,667.60 = 2,989.46 : x
  2. Step 2: Convert to fraction form
    4,103.54/5,667.60 = 2,989.46/x
  3. Step 3: Cross multiply
    4,103.54x = 5,667.60 × 2,989.46
  4. Step 4: Simplify right side
    4,103.54x = 16,943,035.16
  5. Step 5: Solve for x
    x = 16,943,035.16/4,103.54
  6. Step 6: Final answer
    x = 4,128.89

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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.