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Finding the Fourth Proportional to 3,713.81, 5,571.25 and 1,116.95

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Solution

The fourth proportional to 3,713.81, 5,571.25 and 1,116.95 is: 1,675.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,713.81 : 5,571.25 = 1,116.95 : x
  2. Step 2: Convert to fraction form
    3,713.81/5,571.25 = 1,116.95/x
  3. Step 3: Cross multiply
    3,713.81x = 5,571.25 × 1,116.95
  4. Step 4: Simplify right side
    3,713.81x = 6,222,777.04
  5. Step 5: Solve for x
    x = 6,222,777.04/3,713.81
  6. Step 6: Final answer
    x = 1,675.58

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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.