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Finding the Fourth Proportional to 5,180.96, 7,765.24 and 2,985.12

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Solution

The fourth proportional to 5,180.96, 7,765.24 and 2,985.12 is: 4,474.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,180.96 : 7,765.24 = 2,985.12 : x
  2. Step 2: Convert to fraction form
    5,180.96/7,765.24 = 2,985.12/x
  3. Step 3: Cross multiply
    5,180.96x = 7,765.24 × 2,985.12
  4. Step 4: Simplify right side
    5,180.96x = 23,180,173.23
  5. Step 5: Solve for x
    x = 23,180,173.23/5,180.96
  6. Step 6: Final answer
    x = 4,474.11

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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.