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Finding the Fourth Proportional to 3,494.34, 5,241.50 and 897.28

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Solution

The fourth proportional to 3,494.34, 5,241.50 and 897.28 is: 1,345.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,494.34 : 5,241.50 = 897.28 : x
  2. Step 2: Convert to fraction form
    3,494.34/5,241.50 = 897.28/x
  3. Step 3: Cross multiply
    3,494.34x = 5,241.50 × 897.28
  4. Step 4: Simplify right side
    3,494.34x = 4,703,078.89
  5. Step 5: Solve for x
    x = 4,703,078.89/3,494.34
  6. Step 6: Final answer
    x = 1,345.91

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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.