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Finding the Fourth Proportional to 3,669.84, 5,504.78 and 896.52

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Solution

The fourth proportional to 3,669.84, 5,504.78 and 896.52 is: 1,344.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,669.84 : 5,504.78 = 896.52 : x
  2. Step 2: Convert to fraction form
    3,669.84/5,504.78 = 896.52/x
  3. Step 3: Cross multiply
    3,669.84x = 5,504.78 × 896.52
  4. Step 4: Simplify right side
    3,669.84x = 4,935,145.37
  5. Step 5: Solve for x
    x = 4,935,145.37/3,669.84
  6. Step 6: Final answer
    x = 1,344.78

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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.