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Finding the Fourth Proportional to 3,607.82, 5,412.09 and 1,660.58

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Solution

The fourth proportional to 3,607.82, 5,412.09 and 1,660.58 is: 2,491.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,607.82 : 5,412.09 = 1,660.58 : x
  2. Step 2: Convert to fraction form
    3,607.82/5,412.09 = 1,660.58/x
  3. Step 3: Cross multiply
    3,607.82x = 5,412.09 × 1,660.58
  4. Step 4: Simplify right side
    3,607.82x = 8,987,208.41
  5. Step 5: Solve for x
    x = 8,987,208.41/3,607.82
  6. Step 6: Final answer
    x = 2,491.04

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