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Finding the Fourth Proportional to 3,664.82, 5,494.70 and 1,717.58

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Solution

The fourth proportional to 3,664.82, 5,494.70 and 1,717.58 is: 2,575.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,664.82 : 5,494.70 = 1,717.58 : x
  2. Step 2: Convert to fraction form
    3,664.82/5,494.70 = 1,717.58/x
  3. Step 3: Cross multiply
    3,664.82x = 5,494.70 × 1,717.58
  4. Step 4: Simplify right side
    3,664.82x = 9,437,586.83
  5. Step 5: Solve for x
    x = 9,437,586.83/3,664.82
  6. Step 6: Final answer
    x = 2,575.18

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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.