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Finding the Fourth Proportional to 4,342.72, 6,512.70 and 2,780.50

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Solution

The fourth proportional to 4,342.72, 6,512.70 and 2,780.50 is: 4,169.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,342.72 : 6,512.70 = 2,780.50 : x
  2. Step 2: Convert to fraction form
    4,342.72/6,512.70 = 2,780.50/x
  3. Step 3: Cross multiply
    4,342.72x = 6,512.70 × 2,780.50
  4. Step 4: Simplify right side
    4,342.72x = 18,108,562.35
  5. Step 5: Solve for x
    x = 18,108,562.35/4,342.72
  6. Step 6: Final answer
    x = 4,169.87

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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.