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Finding the Fourth Proportional to 3,453.66, 5,180.67 and 1,145.34

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Solution

The fourth proportional to 3,453.66, 5,180.67 and 1,145.34 is: 1,718.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,453.66 : 5,180.67 = 1,145.34 : x
  2. Step 2: Convert to fraction form
    3,453.66/5,180.67 = 1,145.34/x
  3. Step 3: Cross multiply
    3,453.66x = 5,180.67 × 1,145.34
  4. Step 4: Simplify right side
    3,453.66x = 5,933,628.58
  5. Step 5: Solve for x
    x = 5,933,628.58/3,453.66
  6. Step 6: Final answer
    x = 1,718.07

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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.