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Finding the Fourth Proportional to 3,494.03, 5,241.17 and 896.96

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Solution

The fourth proportional to 3,494.03, 5,241.17 and 896.96 is: 1,345.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,494.03 : 5,241.17 = 896.96 : x
  2. Step 2: Convert to fraction form
    3,494.03/5,241.17 = 896.96/x
  3. Step 3: Cross multiply
    3,494.03x = 5,241.17 × 896.96
  4. Step 4: Simplify right side
    3,494.03x = 4,701,089.15
  5. Step 5: Solve for x
    x = 4,701,089.15/3,494.03
  6. Step 6: Final answer
    x = 1,345.47

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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.