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Finding the Fourth Proportional to 5,734.89, 8,602.38 and 1,839.30

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Solution

The fourth proportional to 5,734.89, 8,602.38 and 1,839.30 is: 2,758.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,734.89 : 8,602.38 = 1,839.30 : x
  2. Step 2: Convert to fraction form
    5,734.89/8,602.38 = 1,839.30/x
  3. Step 3: Cross multiply
    5,734.89x = 8,602.38 × 1,839.30
  4. Step 4: Simplify right side
    5,734.89x = 15,822,357.53
  5. Step 5: Solve for x
    x = 15,822,357.53/5,734.89
  6. Step 6: Final answer
    x = 2,758.96

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Why These Related Problems?

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