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Finding the Fourth Proportional to 3,370.56, 5,055.78 and 1,422.78

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Solution

The fourth proportional to 3,370.56, 5,055.78 and 1,422.78 is: 2,134.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,370.56 : 5,055.78 = 1,422.78 : x
  2. Step 2: Convert to fraction form
    3,370.56/5,055.78 = 1,422.78/x
  3. Step 3: Cross multiply
    3,370.56x = 5,055.78 × 1,422.78
  4. Step 4: Simplify right side
    3,370.56x = 7,193,262.67
  5. Step 5: Solve for x
    x = 7,193,262.67/3,370.56
  6. Step 6: Final answer
    x = 2,134.14

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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.