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Finding the Fourth Proportional to 3,845.20, 5,776.02 and 3,261.40

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Solution

The fourth proportional to 3,845.20, 5,776.02 and 3,261.40 is: 4,899.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,845.20 : 5,776.02 = 3,261.40 : x
  2. Step 2: Convert to fraction form
    3,845.20/5,776.02 = 3,261.40/x
  3. Step 3: Cross multiply
    3,845.20x = 5,776.02 × 3,261.40
  4. Step 4: Simplify right side
    3,845.20x = 18,837,911.63
  5. Step 5: Solve for x
    x = 18,837,911.63/3,845.20
  6. Step 6: Final answer
    x = 4,899.07

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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.