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Finding the Fourth Proportional to 3,729.51, 5,589.39 and 1,539.87

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Solution

The fourth proportional to 3,729.51, 5,589.39 and 1,539.87 is: 2,307.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,729.51 : 5,589.39 = 1,539.87 : x
  2. Step 2: Convert to fraction form
    3,729.51/5,589.39 = 1,539.87/x
  3. Step 3: Cross multiply
    3,729.51x = 5,589.39 × 1,539.87
  4. Step 4: Simplify right side
    3,729.51x = 8,606,933.98
  5. Step 5: Solve for x
    x = 8,606,933.98/3,729.51
  6. Step 6: Final answer
    x = 2,307.79

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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.