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Finding the Fourth Proportional to 5,234.04, 7,841.82 and 2,763.42

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Solution

The fourth proportional to 5,234.04, 7,841.82 and 2,763.42 is: 4,140.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,234.04 : 7,841.82 = 2,763.42 : x
  2. Step 2: Convert to fraction form
    5,234.04/7,841.82 = 2,763.42/x
  3. Step 3: Cross multiply
    5,234.04x = 7,841.82 × 2,763.42
  4. Step 4: Simplify right side
    5,234.04x = 21,670,242.22
  5. Step 5: Solve for x
    x = 21,670,242.22/5,234.04
  6. Step 6: Final answer
    x = 4,140.25

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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.