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Finding the Fourth Proportional to 3,214.97, 4,436.10 and 1,888.95

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Solution

The fourth proportional to 3,214.97, 4,436.10 and 1,888.95 is: 2,606.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,214.97 : 4,436.10 = 1,888.95 : x
  2. Step 2: Convert to fraction form
    3,214.97/4,436.10 = 1,888.95/x
  3. Step 3: Cross multiply
    3,214.97x = 4,436.10 × 1,888.95
  4. Step 4: Simplify right side
    3,214.97x = 8,379,571.10
  5. Step 5: Solve for x
    x = 8,379,571.10/3,214.97
  6. Step 6: Final answer
    x = 2,606.42

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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.