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Finding the Fourth Proportional to 5,962, 8,228.28 and 3,478

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Solution

The fourth proportional to 5,962, 8,228.28 and 3,478 is: 4,800.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,962 : 8,228.28 = 3,478 : x
  2. Step 2: Convert to fraction form
    5,962/8,228.28 = 3,478/x
  3. Step 3: Cross multiply
    5,962x = 8,228.28 × 3,478
  4. Step 4: Simplify right side
    5,962x = 28,617,957.84
  5. Step 5: Solve for x
    x = 28,617,957.84/5,962
  6. Step 6: Final answer
    x = 4,800.06

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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.