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Finding the Fourth Proportional to 3,362.59, 5,042.18 and 1,782.18

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Solution

The fourth proportional to 3,362.59, 5,042.18 and 1,782.18 is: 2,672.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,362.59 : 5,042.18 = 1,782.18 : x
  2. Step 2: Convert to fraction form
    3,362.59/5,042.18 = 1,782.18/x
  3. Step 3: Cross multiply
    3,362.59x = 5,042.18 × 1,782.18
  4. Step 4: Simplify right side
    3,362.59x = 8,986,072.35
  5. Step 5: Solve for x
    x = 8,986,072.35/3,362.59
  6. Step 6: Final answer
    x = 2,672.37

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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.