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Finding the Fourth Proportional to 5,902.62, 8,853.77 and 1,798.62

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Solution

The fourth proportional to 5,902.62, 8,853.77 and 1,798.62 is: 2,697.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,902.62 : 8,853.77 = 1,798.62 : x
  2. Step 2: Convert to fraction form
    5,902.62/8,853.77 = 1,798.62/x
  3. Step 3: Cross multiply
    5,902.62x = 8,853.77 × 1,798.62
  4. Step 4: Simplify right side
    5,902.62x = 15,924,567.80
  5. Step 5: Solve for x
    x = 15,924,567.80/5,902.62
  6. Step 6: Final answer
    x = 2,697.88

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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.