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Finding the Fourth Proportional to 5,769.96, 8,646.84 and 2,480.58

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Solution

The fourth proportional to 5,769.96, 8,646.84 and 2,480.58 is: 3,717.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,769.96 : 8,646.84 = 2,480.58 : x
  2. Step 2: Convert to fraction form
    5,769.96/8,646.84 = 2,480.58/x
  3. Step 3: Cross multiply
    5,769.96x = 8,646.84 × 2,480.58
  4. Step 4: Simplify right side
    5,769.96x = 21,449,178.37
  5. Step 5: Solve for x
    x = 21,449,178.37/5,769.96
  6. Step 6: Final answer
    x = 3,717.39

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.