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Finding the Fourth Proportional to 3,477.28, 5,215.87 and 844.80

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Solution

The fourth proportional to 3,477.28, 5,215.87 and 844.80 is: 1,267.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,477.28 : 5,215.87 = 844.80 : x
  2. Step 2: Convert to fraction form
    3,477.28/5,215.87 = 844.80/x
  3. Step 3: Cross multiply
    3,477.28x = 5,215.87 × 844.80
  4. Step 4: Simplify right side
    3,477.28x = 4,406,366.98
  5. Step 5: Solve for x
    x = 4,406,366.98/3,477.28
  6. Step 6: Final answer
    x = 1,267.19

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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.