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Finding the Fourth Proportional to 4,771.59, 7,150.08 and 1,996.75

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Solution

The fourth proportional to 4,771.59, 7,150.08 and 1,996.75 is: 2,992.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,771.59 : 7,150.08 = 1,996.75 : x
  2. Step 2: Convert to fraction form
    4,771.59/7,150.08 = 1,996.75/x
  3. Step 3: Cross multiply
    4,771.59x = 7,150.08 × 1,996.75
  4. Step 4: Simplify right side
    4,771.59x = 14,276,909.37
  5. Step 5: Solve for x
    x = 14,276,909.37/4,771.59
  6. Step 6: Final answer
    x = 2,992.07

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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.