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Finding the Fourth Proportional to 3,539.72, 5,307.41 and 3,081.80

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Solution

The fourth proportional to 3,539.72, 5,307.41 and 3,081.80 is: 4,620.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,539.72 : 5,307.41 = 3,081.80 : x
  2. Step 2: Convert to fraction form
    3,539.72/5,307.41 = 3,081.80/x
  3. Step 3: Cross multiply
    3,539.72x = 5,307.41 × 3,081.80
  4. Step 4: Simplify right side
    3,539.72x = 16,356,376.14
  5. Step 5: Solve for x
    x = 16,356,376.14/3,539.72
  6. Step 6: Final answer
    x = 4,620.81

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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.