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Finding the Fourth Proportional to 3,493.63, 5,240.44 and 896.57

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Solution

The fourth proportional to 3,493.63, 5,240.44 and 896.57 is: 1,344.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,493.63 : 5,240.44 = 896.57 : x
  2. Step 2: Convert to fraction form
    3,493.63/5,240.44 = 896.57/x
  3. Step 3: Cross multiply
    3,493.63x = 5,240.44 × 896.57
  4. Step 4: Simplify right side
    3,493.63x = 4,698,395.09
  5. Step 5: Solve for x
    x = 4,698,395.09/3,493.63
  6. Step 6: Final answer
    x = 1,344.85

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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.