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Finding the Fourth Proportional to 3,451.01, 5,176.58 and 1,142.57

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Solution

The fourth proportional to 3,451.01, 5,176.58 and 1,142.57 is: 1,713.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,451.01 : 5,176.58 = 1,142.57 : x
  2. Step 2: Convert to fraction form
    3,451.01/5,176.58 = 1,142.57/x
  3. Step 3: Cross multiply
    3,451.01x = 5,176.58 × 1,142.57
  4. Step 4: Simplify right side
    3,451.01x = 5,914,599.30
  5. Step 5: Solve for x
    x = 5,914,599.30/3,451.01
  6. Step 6: Final answer
    x = 1,713.87

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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.