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Finding the Fourth Proportional to 4,486.12, 6,731.66 and 1,889

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Solution

The fourth proportional to 4,486.12, 6,731.66 and 1,889 is: 2,834.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,486.12 : 6,731.66 = 1,889 : x
  2. Step 2: Convert to fraction form
    4,486.12/6,731.66 = 1,889/x
  3. Step 3: Cross multiply
    4,486.12x = 6,731.66 × 1,889
  4. Step 4: Simplify right side
    4,486.12x = 12,716,105.74
  5. Step 5: Solve for x
    x = 12,716,105.74/4,486.12
  6. Step 6: Final answer
    x = 2,834.54

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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.