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Finding the Fourth Proportional to 3,493.68, 5,240.52 and 896.62

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Solution

The fourth proportional to 3,493.68, 5,240.52 and 896.62 is: 1,344.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,493.68 : 5,240.52 = 896.62 : x
  2. Step 2: Convert to fraction form
    3,493.68/5,240.52 = 896.62/x
  3. Step 3: Cross multiply
    3,493.68x = 5,240.52 × 896.62
  4. Step 4: Simplify right side
    3,493.68x = 4,698,741.94
  5. Step 5: Solve for x
    x = 4,698,741.94/3,493.68
  6. Step 6: Final answer
    x = 1,344.93

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.