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Finding the Fourth Proportional to 3,370.86, 5,056.05 and 1,422.88

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Solution

The fourth proportional to 3,370.86, 5,056.05 and 1,422.88 is: 2,134.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,370.86 : 5,056.05 = 1,422.88 : x
  2. Step 2: Convert to fraction form
    3,370.86/5,056.05 = 1,422.88/x
  3. Step 3: Cross multiply
    3,370.86x = 5,056.05 × 1,422.88
  4. Step 4: Simplify right side
    3,370.86x = 7,194,127.14
  5. Step 5: Solve for x
    x = 7,194,127.14/3,370.86
  6. Step 6: Final answer
    x = 2,134.21

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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.