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Finding the Fourth Proportional to 4,780.69, 6,597.97 and 2,684.81

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Solution

The fourth proportional to 4,780.69, 6,597.97 and 2,684.81 is: 3,705.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,780.69 : 6,597.97 = 2,684.81 : x
  2. Step 2: Convert to fraction form
    4,780.69/6,597.97 = 2,684.81/x
  3. Step 3: Cross multiply
    4,780.69x = 6,597.97 × 2,684.81
  4. Step 4: Simplify right side
    4,780.69x = 17,714,305.62
  5. Step 5: Solve for x
    x = 17,714,305.62/4,780.69
  6. Step 6: Final answer
    x = 3,705.39

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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.