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Finding the Fourth Proportional to 5,858.35, 8,084.50 and 3,205.76

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Solution

The fourth proportional to 5,858.35, 8,084.50 and 3,205.76 is: 4,423.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,858.35 : 8,084.50 = 3,205.76 : x
  2. Step 2: Convert to fraction form
    5,858.35/8,084.50 = 3,205.76/x
  3. Step 3: Cross multiply
    5,858.35x = 8,084.50 × 3,205.76
  4. Step 4: Simplify right side
    5,858.35x = 25,916,926.30
  5. Step 5: Solve for x
    x = 25,916,926.30/5,858.35
  6. Step 6: Final answer
    x = 4,423.93

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