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Finding the Fourth Proportional to 3,685.72, 5,525.27 and 1,344.09

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Solution

The fourth proportional to 3,685.72, 5,525.27 and 1,344.09 is: 2,014.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,685.72 : 5,525.27 = 1,344.09 : x
  2. Step 2: Convert to fraction form
    3,685.72/5,525.27 = 1,344.09/x
  3. Step 3: Cross multiply
    3,685.72x = 5,525.27 × 1,344.09
  4. Step 4: Simplify right side
    3,685.72x = 7,426,429.26
  5. Step 5: Solve for x
    x = 7,426,429.26/3,685.72
  6. Step 6: Final answer
    x = 2,014.92

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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.