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Finding the Fourth Proportional to 3,213.73, 4,434.78 and 1,888.17

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Solution

The fourth proportional to 3,213.73, 4,434.78 and 1,888.17 is: 2,605.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,213.73 : 4,434.78 = 1,888.17 : x
  2. Step 2: Convert to fraction form
    3,213.73/4,434.78 = 1,888.17/x
  3. Step 3: Cross multiply
    3,213.73x = 4,434.78 × 1,888.17
  4. Step 4: Simplify right side
    3,213.73x = 8,373,618.55
  5. Step 5: Solve for x
    x = 8,373,618.55/3,213.73
  6. Step 6: Final answer
    x = 2,605.58

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.