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Finding the Fourth Proportional to 3,172.56, 4,378.20 and 1,775.76

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Solution

The fourth proportional to 3,172.56, 4,378.20 and 1,775.76 is: 2,450.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,172.56 : 4,378.20 = 1,775.76 : x
  2. Step 2: Convert to fraction form
    3,172.56/4,378.20 = 1,775.76/x
  3. Step 3: Cross multiply
    3,172.56x = 4,378.20 × 1,775.76
  4. Step 4: Simplify right side
    3,172.56x = 7,774,632.43
  5. Step 5: Solve for x
    x = 7,774,632.43/3,172.56
  6. Step 6: Final answer
    x = 2,450.59

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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.