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Finding the Fourth Proportional to 4,985.64, 7,468.70 and 3,667

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Solution

The fourth proportional to 4,985.64, 7,468.70 and 3,667 is: 5,493.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,985.64 : 7,468.70 = 3,667 : x
  2. Step 2: Convert to fraction form
    4,985.64/7,468.70 = 3,667/x
  3. Step 3: Cross multiply
    4,985.64x = 7,468.70 × 3,667
  4. Step 4: Simplify right side
    4,985.64x = 27,387,722.90
  5. Step 5: Solve for x
    x = 27,387,722.90/4,985.64
  6. Step 6: Final answer
    x = 5,493.32

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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.