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Finding the Fourth Proportional to 6,208.33, 8,565.00 and 3,817.54

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Solution

The fourth proportional to 6,208.33, 8,565.00 and 3,817.54 is: 5,266.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,208.33 : 8,565.00 = 3,817.54 : x
  2. Step 2: Convert to fraction form
    6,208.33/8,565.00 = 3,817.54/x
  3. Step 3: Cross multiply
    6,208.33x = 8,565.00 × 3,817.54
  4. Step 4: Simplify right side
    6,208.33x = 32,697,265.38
  5. Step 5: Solve for x
    x = 32,697,265.38/6,208.33
  6. Step 6: Final answer
    x = 5,266.67

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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.