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Finding the Fourth Proportional to 3,451.08, 5,176.08 and 1,142.58

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Solution

The fourth proportional to 3,451.08, 5,176.08 and 1,142.58 is: 1,713.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,451.08 : 5,176.08 = 1,142.58 : x
  2. Step 2: Convert to fraction form
    3,451.08/5,176.08 = 1,142.58/x
  3. Step 3: Cross multiply
    3,451.08x = 5,176.08 × 1,142.58
  4. Step 4: Simplify right side
    3,451.08x = 5,914,085.49
  5. Step 5: Solve for x
    x = 5,914,085.49/3,451.08
  6. Step 6: Final answer
    x = 1,713.69

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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.