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Finding the Fourth Proportional to 4,208.49, 5,810.40 and 3,759.57

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Solution

The fourth proportional to 4,208.49, 5,810.40 and 3,759.57 is: 5,190.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,208.49 : 5,810.40 = 3,759.57 : x
  2. Step 2: Convert to fraction form
    4,208.49/5,810.40 = 3,759.57/x
  3. Step 3: Cross multiply
    4,208.49x = 5,810.40 × 3,759.57
  4. Step 4: Simplify right side
    4,208.49x = 21,844,605.53
  5. Step 5: Solve for x
    x = 21,844,605.53/4,208.49
  6. Step 6: Final answer
    x = 5,190.60

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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.