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Finding the Fourth Proportional to 5,180.98, 7,765.62 and 4,765.72

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Solution

The fourth proportional to 5,180.98, 7,765.62 and 4,765.72 is: 7,143.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,180.98 : 7,765.62 = 4,765.72 : x
  2. Step 2: Convert to fraction form
    5,180.98/7,765.62 = 4,765.72/x
  3. Step 3: Cross multiply
    5,180.98x = 7,765.62 × 4,765.72
  4. Step 4: Simplify right side
    5,180.98x = 37,008,770.55
  5. Step 5: Solve for x
    x = 37,008,770.55/5,180.98
  6. Step 6: Final answer
    x = 7,143.20

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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.