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Finding the Fourth Proportional to 5,903.99, 8,146.47 and 3,634.57

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Solution

The fourth proportional to 5,903.99, 8,146.47 and 3,634.57 is: 5,015.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,903.99 : 8,146.47 = 3,634.57 : x
  2. Step 2: Convert to fraction form
    5,903.99/8,146.47 = 3,634.57/x
  3. Step 3: Cross multiply
    5,903.99x = 8,146.47 × 3,634.57
  4. Step 4: Simplify right side
    5,903.99x = 29,608,939.28
  5. Step 5: Solve for x
    x = 29,608,939.28/5,903.99
  6. Step 6: Final answer
    x = 5,015.07

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.