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Finding the Fourth Proportional to 3,919.85, 5,876.02 and 1,454

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Solution

The fourth proportional to 3,919.85, 5,876.02 and 1,454 is: 2,179.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,919.85 : 5,876.02 = 1,454 : x
  2. Step 2: Convert to fraction form
    3,919.85/5,876.02 = 1,454/x
  3. Step 3: Cross multiply
    3,919.85x = 5,876.02 × 1,454
  4. Step 4: Simplify right side
    3,919.85x = 8,543,733.08
  5. Step 5: Solve for x
    x = 8,543,733.08/3,919.85
  6. Step 6: Final answer
    x = 2,179.61

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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.