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Finding the Fourth Proportional to 3,665.25, 5,497.97 and 1,325.48

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Solution

The fourth proportional to 3,665.25, 5,497.97 and 1,325.48 is: 1,988.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,665.25 : 5,497.97 = 1,325.48 : x
  2. Step 2: Convert to fraction form
    3,665.25/5,497.97 = 1,325.48/x
  3. Step 3: Cross multiply
    3,665.25x = 5,497.97 × 1,325.48
  4. Step 4: Simplify right side
    3,665.25x = 7,287,415.16
  5. Step 5: Solve for x
    x = 7,287,415.16/3,665.25
  6. Step 6: Final answer
    x = 1,988.25

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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.