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Finding the Fourth Proportional to 4,667.54, 7,004.03 and 1,747.89

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Solution

The fourth proportional to 4,667.54, 7,004.03 and 1,747.89 is: 2,622.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,667.54 : 7,004.03 = 1,747.89 : x
  2. Step 2: Convert to fraction form
    4,667.54/7,004.03 = 1,747.89/x
  3. Step 3: Cross multiply
    4,667.54x = 7,004.03 × 1,747.89
  4. Step 4: Simplify right side
    4,667.54x = 12,242,265.26
  5. Step 5: Solve for x
    x = 12,242,265.26/4,667.54
  6. Step 6: Final answer
    x = 2,622.85

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Why These Related Problems?

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