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Finding the Fourth Proportional to 3,924.41, 5,888.68 and 1,734.65

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Solution

The fourth proportional to 3,924.41, 5,888.68 and 1,734.65 is: 2,602.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,924.41 : 5,888.68 = 1,734.65 : x
  2. Step 2: Convert to fraction form
    3,924.41/5,888.68 = 1,734.65/x
  3. Step 3: Cross multiply
    3,924.41x = 5,888.68 × 1,734.65
  4. Step 4: Simplify right side
    3,924.41x = 10,214,764.98
  5. Step 5: Solve for x
    x = 10,214,764.98/3,924.41
  6. Step 6: Final answer
    x = 2,602.88

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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.