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Finding the Fourth Proportional to 3,453.77, 5,184.99 and 2,768.97

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Solution

The fourth proportional to 3,453.77, 5,184.99 and 2,768.97 is: 4,156.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,453.77 : 5,184.99 = 2,768.97 : x
  2. Step 2: Convert to fraction form
    3,453.77/5,184.99 = 2,768.97/x
  3. Step 3: Cross multiply
    3,453.77x = 5,184.99 × 2,768.97
  4. Step 4: Simplify right side
    3,453.77x = 14,357,081.76
  5. Step 5: Solve for x
    x = 14,357,081.76/3,453.77
  6. Step 6: Final answer
    x = 4,156.94

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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.