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Finding the Fourth Proportional to 5,937.09, 8,193 and 3,419.13

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Solution

The fourth proportional to 5,937.09, 8,193 and 3,419.13 is: 4,718.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,937.09 : 8,193 = 3,419.13 : x
  2. Step 2: Convert to fraction form
    5,937.09/8,193 = 3,419.13/x
  3. Step 3: Cross multiply
    5,937.09x = 8,193 × 3,419.13
  4. Step 4: Simplify right side
    5,937.09x = 28,012,932.09
  5. Step 5: Solve for x
    x = 28,012,932.09/5,937.09
  6. Step 6: Final answer
    x = 4,718.29

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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.