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Finding the Fourth Proportional to 4,172.73, 6,259.23 and 1,980.33

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Solution

The fourth proportional to 4,172.73, 6,259.23 and 1,980.33 is: 2,970.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,172.73 : 6,259.23 = 1,980.33 : x
  2. Step 2: Convert to fraction form
    4,172.73/6,259.23 = 1,980.33/x
  3. Step 3: Cross multiply
    4,172.73x = 6,259.23 × 1,980.33
  4. Step 4: Simplify right side
    4,172.73x = 12,395,340.95
  5. Step 5: Solve for x
    x = 12,395,340.95/4,172.73
  6. Step 6: Final answer
    x = 2,970.56

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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.