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Finding the Fourth Proportional to 3,759.94, 5,188.80 and 2,435.95

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Solution

The fourth proportional to 3,759.94, 5,188.80 and 2,435.95 is: 3,361.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,759.94 : 5,188.80 = 2,435.95 : x
  2. Step 2: Convert to fraction form
    3,759.94/5,188.80 = 2,435.95/x
  3. Step 3: Cross multiply
    3,759.94x = 5,188.80 × 2,435.95
  4. Step 4: Simplify right side
    3,759.94x = 12,639,657.36
  5. Step 5: Solve for x
    x = 12,639,657.36/3,759.94
  6. Step 6: Final answer
    x = 3,361.66

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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.