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Finding the Fourth Proportional to 4,809.98, 6,636.84 and 2,713.70

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Solution

The fourth proportional to 4,809.98, 6,636.84 and 2,713.70 is: 3,744.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,809.98 : 6,636.84 = 2,713.70 : x
  2. Step 2: Convert to fraction form
    4,809.98/6,636.84 = 2,713.70/x
  3. Step 3: Cross multiply
    4,809.98x = 6,636.84 × 2,713.70
  4. Step 4: Simplify right side
    4,809.98x = 18,010,399.12
  5. Step 5: Solve for x
    x = 18,010,399.12/4,809.98
  6. Step 6: Final answer
    x = 3,744.38

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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.