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Finding the Fourth Proportional to 3,000.52, 4,493.34 and 2,077

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Solution

The fourth proportional to 3,000.52, 4,493.34 and 2,077 is: 3,110.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,000.52 : 4,493.34 = 2,077 : x
  2. Step 2: Convert to fraction form
    3,000.52/4,493.34 = 2,077/x
  3. Step 3: Cross multiply
    3,000.52x = 4,493.34 × 2,077
  4. Step 4: Simplify right side
    3,000.52x = 9,332,667.18
  5. Step 5: Solve for x
    x = 9,332,667.18/3,000.52
  6. Step 6: Final answer
    x = 3,110.35

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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.