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Finding the Fourth Proportional to 4,497, 6,206.61 and 3,321.46

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Solution

The fourth proportional to 4,497, 6,206.61 and 3,321.46 is: 4,584.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,497 : 6,206.61 = 3,321.46 : x
  2. Step 2: Convert to fraction form
    4,497/6,206.61 = 3,321.46/x
  3. Step 3: Cross multiply
    4,497x = 6,206.61 × 3,321.46
  4. Step 4: Simplify right side
    4,497x = 20,615,006.85
  5. Step 5: Solve for x
    x = 20,615,006.85/4,497
  6. Step 6: Final answer
    x = 4,584.17

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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.