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Finding the Fourth Proportional to 3,995.28, 5,995.38 and 1,530.30

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Solution

The fourth proportional to 3,995.28, 5,995.38 and 1,530.30 is: 2,296.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,995.28 : 5,995.38 = 1,530.30 : x
  2. Step 2: Convert to fraction form
    3,995.28/5,995.38 = 1,530.30/x
  3. Step 3: Cross multiply
    3,995.28x = 5,995.38 × 1,530.30
  4. Step 4: Simplify right side
    3,995.28x = 9,174,730.01
  5. Step 5: Solve for x
    x = 9,174,730.01/3,995.28
  6. Step 6: Final answer
    x = 2,296.39

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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.