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Finding the Fourth Proportional to 4,208, 5,805.68 and 2,635.52

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Solution

The fourth proportional to 4,208, 5,805.68 and 2,635.52 is: 3,636.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,208 : 5,805.68 = 2,635.52 : x
  2. Step 2: Convert to fraction form
    4,208/5,805.68 = 2,635.52/x
  3. Step 3: Cross multiply
    4,208x = 5,805.68 × 2,635.52
  4. Step 4: Simplify right side
    4,208x = 15,300,985.75
  5. Step 5: Solve for x
    x = 15,300,985.75/4,208
  6. Step 6: Final answer
    x = 3,636.17

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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.