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Finding the Fourth Proportional to 3,370.82, 5,056.36 and 905.86

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Solution

The fourth proportional to 3,370.82, 5,056.36 and 905.86 is: 1,358.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,370.82 : 5,056.36 = 905.86 : x
  2. Step 2: Convert to fraction form
    3,370.82/5,056.36 = 905.86/x
  3. Step 3: Cross multiply
    3,370.82x = 5,056.36 × 905.86
  4. Step 4: Simplify right side
    3,370.82x = 4,580,354.27
  5. Step 5: Solve for x
    x = 4,580,354.27/3,370.82
  6. Step 6: Final answer
    x = 1,358.82

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.