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Finding the Fourth Proportional to 5,538.46, 7,642.59 and 3,180.46

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Solution

The fourth proportional to 5,538.46, 7,642.59 and 3,180.46 is: 4,388.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,538.46 : 7,642.59 = 3,180.46 : x
  2. Step 2: Convert to fraction form
    5,538.46/7,642.59 = 3,180.46/x
  3. Step 3: Cross multiply
    5,538.46x = 7,642.59 × 3,180.46
  4. Step 4: Simplify right side
    5,538.46x = 24,306,951.79
  5. Step 5: Solve for x
    x = 24,306,951.79/5,538.46
  6. Step 6: Final answer
    x = 4,388.76

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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.