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Finding the Fourth Proportional to 3,627.10, 5,437 and 1,980.24

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Solution

The fourth proportional to 3,627.10, 5,437 and 1,980.24 is: 2,968.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,627.10 : 5,437 = 1,980.24 : x
  2. Step 2: Convert to fraction form
    3,627.10/5,437 = 1,980.24/x
  3. Step 3: Cross multiply
    3,627.10x = 5,437 × 1,980.24
  4. Step 4: Simplify right side
    3,627.10x = 10,766,564.88
  5. Step 5: Solve for x
    x = 10,766,564.88/3,627.10
  6. Step 6: Final answer
    x = 2,968.37

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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.