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Finding the Fourth Proportional to 3,622.90, 5,437.43 and 1,980.60

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Solution

The fourth proportional to 3,622.90, 5,437.43 and 1,980.60 is: 2,972.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,622.90 : 5,437.43 = 1,980.60 : x
  2. Step 2: Convert to fraction form
    3,622.90/5,437.43 = 1,980.60/x
  3. Step 3: Cross multiply
    3,622.90x = 5,437.43 × 1,980.60
  4. Step 4: Simplify right side
    3,622.90x = 10,769,381.58
  5. Step 5: Solve for x
    x = 10,769,381.58/3,622.90
  6. Step 6: Final answer
    x = 2,972.58

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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.