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Finding the Fourth Proportional to 5,677.65, 8,507.80 and 2,388.94

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Solution

The fourth proportional to 5,677.65, 8,507.80 and 2,388.94 is: 3,579.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,677.65 : 8,507.80 = 2,388.94 : x
  2. Step 2: Convert to fraction form
    5,677.65/8,507.80 = 2,388.94/x
  3. Step 3: Cross multiply
    5,677.65x = 8,507.80 × 2,388.94
  4. Step 4: Simplify right side
    5,677.65x = 20,324,623.73
  5. Step 5: Solve for x
    x = 20,324,623.73/5,677.65
  6. Step 6: Final answer
    x = 3,579.76

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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.