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Finding the Fourth Proportional to 3,665.58, 5,497.21 and 1,325.27

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Solution

The fourth proportional to 3,665.58, 5,497.21 and 1,325.27 is: 1,987.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,665.58 : 5,497.21 = 1,325.27 : x
  2. Step 2: Convert to fraction form
    3,665.58/5,497.21 = 1,325.27/x
  3. Step 3: Cross multiply
    3,665.58x = 5,497.21 × 1,325.27
  4. Step 4: Simplify right side
    3,665.58x = 7,285,287.50
  5. Step 5: Solve for x
    x = 7,285,287.50/3,665.58
  6. Step 6: Final answer
    x = 1,987.49

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Why These Related Problems?

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