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Finding the Fourth Proportional to 5,977.06, 8,951.68 and 5,769.42

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Solution

The fourth proportional to 5,977.06, 8,951.68 and 5,769.42 is: 8,640.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,977.06 : 8,951.68 = 5,769.42 : x
  2. Step 2: Convert to fraction form
    5,977.06/8,951.68 = 5,769.42/x
  3. Step 3: Cross multiply
    5,977.06x = 8,951.68 × 5,769.42
  4. Step 4: Simplify right side
    5,977.06x = 51,646,001.63
  5. Step 5: Solve for x
    x = 51,646,001.63/5,977.06
  6. Step 6: Final answer
    x = 8,640.70

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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.