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Finding the Fourth Proportional to 3,682.40, 5,083.53 and 2,509.62

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Solution

The fourth proportional to 3,682.40, 5,083.53 and 2,509.62 is: 3,464.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,682.40 : 5,083.53 = 2,509.62 : x
  2. Step 2: Convert to fraction form
    3,682.40/5,083.53 = 2,509.62/x
  3. Step 3: Cross multiply
    3,682.40x = 5,083.53 × 2,509.62
  4. Step 4: Simplify right side
    3,682.40x = 12,757,700.08
  5. Step 5: Solve for x
    x = 12,757,700.08/3,682.40
  6. Step 6: Final answer
    x = 3,464.51

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