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Finding the Fourth Proportional to 3,637.46, 5,456.21 and 1,662.68

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Solution

The fourth proportional to 3,637.46, 5,456.21 and 1,662.68 is: 2,494.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,637.46 : 5,456.21 = 1,662.68 : x
  2. Step 2: Convert to fraction form
    3,637.46/5,456.21 = 1,662.68/x
  3. Step 3: Cross multiply
    3,637.46x = 5,456.21 × 1,662.68
  4. Step 4: Simplify right side
    3,637.46x = 9,071,931.24
  5. Step 5: Solve for x
    x = 9,071,931.24/3,637.46
  6. Step 6: Final answer
    x = 2,494.03

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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.