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Finding the Fourth Proportional to 3,453.86, 5,176.47 and 2,465.12

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Solution

The fourth proportional to 3,453.86, 5,176.47 and 2,465.12 is: 3,694.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,453.86 : 5,176.47 = 2,465.12 : x
  2. Step 2: Convert to fraction form
    3,453.86/5,176.47 = 2,465.12/x
  3. Step 3: Cross multiply
    3,453.86x = 5,176.47 × 2,465.12
  4. Step 4: Simplify right side
    3,453.86x = 12,760,619.73
  5. Step 5: Solve for x
    x = 12,760,619.73/3,453.86
  6. Step 6: Final answer
    x = 3,694.60

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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.