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Finding the Fourth Proportional to 3,453.75, 5,181.45 and 1,145.25

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Solution

The fourth proportional to 3,453.75, 5,181.45 and 1,145.25 is: 1,718.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,453.75 : 5,181.45 = 1,145.25 : x
  2. Step 2: Convert to fraction form
    3,453.75/5,181.45 = 1,145.25/x
  3. Step 3: Cross multiply
    3,453.75x = 5,181.45 × 1,145.25
  4. Step 4: Simplify right side
    3,453.75x = 5,934,055.61
  5. Step 5: Solve for x
    x = 5,934,055.61/3,453.75
  6. Step 6: Final answer
    x = 1,718.15

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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.