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Finding the Fourth Proportional to 3,626.60, 5,436.70 and 3,237.80

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Solution

The fourth proportional to 3,626.60, 5,436.70 and 3,237.80 is: 4,853.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,626.60 : 5,436.70 = 3,237.80 : x
  2. Step 2: Convert to fraction form
    3,626.60/5,436.70 = 3,237.80/x
  3. Step 3: Cross multiply
    3,626.60x = 5,436.70 × 3,237.80
  4. Step 4: Simplify right side
    3,626.60x = 17,602,947.26
  5. Step 5: Solve for x
    x = 17,602,947.26/3,626.60
  6. Step 6: Final answer
    x = 4,853.84

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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.