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Finding the Fourth Proportional to 3,995.25, 5,993.85 and 1,259.25

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Solution

The fourth proportional to 3,995.25, 5,993.85 and 1,259.25 is: 1,889.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,995.25 : 5,993.85 = 1,259.25 : x
  2. Step 2: Convert to fraction form
    3,995.25/5,993.85 = 1,259.25/x
  3. Step 3: Cross multiply
    3,995.25x = 5,993.85 × 1,259.25
  4. Step 4: Simplify right side
    3,995.25x = 7,547,755.61
  5. Step 5: Solve for x
    x = 7,547,755.61/3,995.25
  6. Step 6: Final answer
    x = 1,889.18

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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.