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Finding the Fourth Proportional to 3,989.67, 5,983.13 and 1,525.19

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Solution

The fourth proportional to 3,989.67, 5,983.13 and 1,525.19 is: 2,287.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,989.67 : 5,983.13 = 1,525.19 : x
  2. Step 2: Convert to fraction form
    3,989.67/5,983.13 = 1,525.19/x
  3. Step 3: Cross multiply
    3,989.67x = 5,983.13 × 1,525.19
  4. Step 4: Simplify right side
    3,989.67x = 9,125,372.50
  5. Step 5: Solve for x
    x = 9,125,372.50/3,989.67
  6. Step 6: Final answer
    x = 2,287.25

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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.