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Finding the Fourth Proportional to 5,381.93, 7,428.37 and 3,589.50

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Solution

The fourth proportional to 5,381.93, 7,428.37 and 3,589.50 is: 4,954.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,381.93 : 7,428.37 = 3,589.50 : x
  2. Step 2: Convert to fraction form
    5,381.93/7,428.37 = 3,589.50/x
  3. Step 3: Cross multiply
    5,381.93x = 7,428.37 × 3,589.50
  4. Step 4: Simplify right side
    5,381.93x = 26,664,134.12
  5. Step 5: Solve for x
    x = 26,664,134.12/5,381.93
  6. Step 6: Final answer
    x = 4,954.38

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Why These Related Problems?

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