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Finding the Fourth Proportional to 5,902.69, 8,855.57 and 2,204.95

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Solution

The fourth proportional to 5,902.69, 8,855.57 and 2,204.95 is: 3,308.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,902.69 : 8,855.57 = 2,204.95 : x
  2. Step 2: Convert to fraction form
    5,902.69/8,855.57 = 2,204.95/x
  3. Step 3: Cross multiply
    5,902.69x = 8,855.57 × 2,204.95
  4. Step 4: Simplify right side
    5,902.69x = 19,526,089.07
  5. Step 5: Solve for x
    x = 19,526,089.07/5,902.69
  6. Step 6: Final answer
    x = 3,308.00

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.