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Finding the Fourth Proportional to 3,343.59, 5,016.40 and 1,589.94

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Solution

The fourth proportional to 3,343.59, 5,016.40 and 1,589.94 is: 2,385.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,343.59 : 5,016.40 = 1,589.94 : x
  2. Step 2: Convert to fraction form
    3,343.59/5,016.40 = 1,589.94/x
  3. Step 3: Cross multiply
    3,343.59x = 5,016.40 × 1,589.94
  4. Step 4: Simplify right side
    3,343.59x = 7,975,771.04
  5. Step 5: Solve for x
    x = 7,975,771.04/3,343.59
  6. Step 6: Final answer
    x = 2,385.39

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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.