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Finding the Fourth Proportional to 3,454.12, 5,182 and 1,145.64

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Solution

The fourth proportional to 3,454.12, 5,182 and 1,145.64 is: 1,718.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,454.12 : 5,182 = 1,145.64 : x
  2. Step 2: Convert to fraction form
    3,454.12/5,182 = 1,145.64/x
  3. Step 3: Cross multiply
    3,454.12x = 5,182 × 1,145.64
  4. Step 4: Simplify right side
    3,454.12x = 5,936,706.48
  5. Step 5: Solve for x
    x = 5,936,706.48/3,454.12
  6. Step 6: Final answer
    x = 1,718.73

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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.