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Finding the Fourth Proportional to 3,418.65, 5,137.60 and 2,032.24

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Solution

The fourth proportional to 3,418.65, 5,137.60 and 2,032.24 is: 3,054.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,418.65 : 5,137.60 = 2,032.24 : x
  2. Step 2: Convert to fraction form
    3,418.65/5,137.60 = 2,032.24/x
  3. Step 3: Cross multiply
    3,418.65x = 5,137.60 × 2,032.24
  4. Step 4: Simplify right side
    3,418.65x = 10,440,818.30
  5. Step 5: Solve for x
    x = 10,440,818.30/3,418.65
  6. Step 6: Final answer
    x = 3,054.07

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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.