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Finding the Fourth Proportional to 3,451.70, 5,176.82 and 1,111.91

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Solution

The fourth proportional to 3,451.70, 5,176.82 and 1,111.91 is: 1,667.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,451.70 : 5,176.82 = 1,111.91 : x
  2. Step 2: Convert to fraction form
    3,451.70/5,176.82 = 1,111.91/x
  3. Step 3: Cross multiply
    3,451.70x = 5,176.82 × 1,111.91
  4. Step 4: Simplify right side
    3,451.70x = 5,756,145.90
  5. Step 5: Solve for x
    x = 5,756,145.90/3,451.70
  6. Step 6: Final answer
    x = 1,667.63

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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.