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Finding the Fourth Proportional to 3,995.03, 5,992.60 and 1,530

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Solution

The fourth proportional to 3,995.03, 5,992.60 and 1,530 is: 2,295.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,995.03 : 5,992.60 = 1,530 : x
  2. Step 2: Convert to fraction form
    3,995.03/5,992.60 = 1,530/x
  3. Step 3: Cross multiply
    3,995.03x = 5,992.60 × 1,530
  4. Step 4: Simplify right side
    3,995.03x = 9,168,674.18
  5. Step 5: Solve for x
    x = 9,168,674.18/3,995.03
  6. Step 6: Final answer
    x = 2,295.02

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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.