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Finding the Fourth Proportional to 6,182.98, 9,278.04 and 2,624.85

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Solution

The fourth proportional to 6,182.98, 9,278.04 and 2,624.85 is: 3,938.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,182.98 : 9,278.04 = 2,624.85 : x
  2. Step 2: Convert to fraction form
    6,182.98/9,278.04 = 2,624.85/x
  3. Step 3: Cross multiply
    6,182.98x = 9,278.04 × 2,624.85
  4. Step 4: Simplify right side
    6,182.98x = 24,353,463.29
  5. Step 5: Solve for x
    x = 24,353,463.29/6,182.98
  6. Step 6: Final answer
    x = 3,938.79

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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.