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Finding the Fourth Proportional to 3,776.84, 5,209.96 and 2,285.24

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Solution

The fourth proportional to 3,776.84, 5,209.96 and 2,285.24 is: 3,152.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,776.84 : 5,209.96 = 2,285.24 : x
  2. Step 2: Convert to fraction form
    3,776.84/5,209.96 = 2,285.24/x
  3. Step 3: Cross multiply
    3,776.84x = 5,209.96 × 2,285.24
  4. Step 4: Simplify right side
    3,776.84x = 11,906,008.99
  5. Step 5: Solve for x
    x = 11,906,008.99/3,776.84
  6. Step 6: Final answer
    x = 3,152.37

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.