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Finding the Fourth Proportional to 3,776.68, 5,212.08 and 2,205.28

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Solution

The fourth proportional to 3,776.68, 5,212.08 and 2,205.28 is: 3,043.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,776.68 : 5,212.08 = 2,205.28 : x
  2. Step 2: Convert to fraction form
    3,776.68/5,212.08 = 2,205.28/x
  3. Step 3: Cross multiply
    3,776.68x = 5,212.08 × 2,205.28
  4. Step 4: Simplify right side
    3,776.68x = 11,494,095.78
  5. Step 5: Solve for x
    x = 11,494,095.78/3,776.68
  6. Step 6: Final answer
    x = 3,043.44

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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.