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Finding the Fourth Proportional to 5,229.99, 7,842.68 and 2,457.45

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Solution

The fourth proportional to 5,229.99, 7,842.68 and 2,457.45 is: 3,685.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,229.99 : 7,842.68 = 2,457.45 : x
  2. Step 2: Convert to fraction form
    5,229.99/7,842.68 = 2,457.45/x
  3. Step 3: Cross multiply
    5,229.99x = 7,842.68 × 2,457.45
  4. Step 4: Simplify right side
    5,229.99x = 19,273,000.11
  5. Step 5: Solve for x
    x = 19,273,000.11/5,229.99
  6. Step 6: Final answer
    x = 3,685.09

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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.