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Finding the Fourth Proportional to 5,180.55, 7,770.82 and 4,467.04

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Solution

The fourth proportional to 5,180.55, 7,770.82 and 4,467.04 is: 6,700.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,180.55 : 7,770.82 = 4,467.04 : x
  2. Step 2: Convert to fraction form
    5,180.55/7,770.82 = 4,467.04/x
  3. Step 3: Cross multiply
    5,180.55x = 7,770.82 × 4,467.04
  4. Step 4: Simplify right side
    5,180.55x = 34,712,563.77
  5. Step 5: Solve for x
    x = 34,712,563.77/5,180.55
  6. Step 6: Final answer
    x = 6,700.56

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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.