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Finding the Fourth Proportional to 5,539.64, 7,642.86 and 3,180.12

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Solution

The fourth proportional to 5,539.64, 7,642.86 and 3,180.12 is: 4,387.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,539.64 : 7,642.86 = 3,180.12 : x
  2. Step 2: Convert to fraction form
    5,539.64/7,642.86 = 3,180.12/x
  3. Step 3: Cross multiply
    5,539.64x = 7,642.86 × 3,180.12
  4. Step 4: Simplify right side
    5,539.64x = 24,305,211.94
  5. Step 5: Solve for x
    x = 24,305,211.94/5,539.64
  6. Step 6: Final answer
    x = 4,387.51

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.