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Finding the Fourth Proportional to 6,206.38, 8,564.85 and 3,373.76

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Solution

The fourth proportional to 6,206.38, 8,564.85 and 3,373.76 is: 4,655.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,206.38 : 8,564.85 = 3,373.76 : x
  2. Step 2: Convert to fraction form
    6,206.38/8,564.85 = 3,373.76/x
  3. Step 3: Cross multiply
    6,206.38x = 8,564.85 × 3,373.76
  4. Step 4: Simplify right side
    6,206.38x = 28,895,769.75
  5. Step 5: Solve for x
    x = 28,895,769.75/6,206.38
  6. Step 6: Final answer
    x = 4,655.82

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.