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Finding the Fourth Proportional to 3,665.09, 5,498.81 and 1,325.09

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Solution

The fourth proportional to 3,665.09, 5,498.81 and 1,325.09 is: 1,988.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,665.09 : 5,498.81 = 1,325.09 : x
  2. Step 2: Convert to fraction form
    3,665.09/5,498.81 = 1,325.09/x
  3. Step 3: Cross multiply
    3,665.09x = 5,498.81 × 1,325.09
  4. Step 4: Simplify right side
    3,665.09x = 7,286,384.02
  5. Step 5: Solve for x
    x = 7,286,384.02/3,665.09
  6. Step 6: Final answer
    x = 1,988.05

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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.