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Finding the Fourth Proportional to 5,478.14, 8,214.29 and 2,842.99

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Solution

The fourth proportional to 5,478.14, 8,214.29 and 2,842.99 is: 4,262.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,478.14 : 8,214.29 = 2,842.99 : x
  2. Step 2: Convert to fraction form
    5,478.14/8,214.29 = 2,842.99/x
  3. Step 3: Cross multiply
    5,478.14x = 8,214.29 × 2,842.99
  4. Step 4: Simplify right side
    5,478.14x = 23,353,140.38
  5. Step 5: Solve for x
    x = 23,353,140.38/5,478.14
  6. Step 6: Final answer
    x = 4,262.97

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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.