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Finding the Fourth Proportional to 5,972, 8,241.36 and 3,488

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Solution

The fourth proportional to 5,972, 8,241.36 and 3,488 is: 4,813.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,972 : 8,241.36 = 3,488 : x
  2. Step 2: Convert to fraction form
    5,972/8,241.36 = 3,488/x
  3. Step 3: Cross multiply
    5,972x = 8,241.36 × 3,488
  4. Step 4: Simplify right side
    5,972x = 28,745,863.68
  5. Step 5: Solve for x
    x = 28,745,863.68/5,972
  6. Step 6: Final answer
    x = 4,813.44

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.