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Finding the Fourth Proportional to 5,225.48, 7,842 and 1,939.04

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Solution

The fourth proportional to 5,225.48, 7,842 and 1,939.04 is: 2,909.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,225.48 : 7,842 = 1,939.04 : x
  2. Step 2: Convert to fraction form
    5,225.48/7,842 = 1,939.04/x
  3. Step 3: Cross multiply
    5,225.48x = 7,842 × 1,939.04
  4. Step 4: Simplify right side
    5,225.48x = 15,205,912.47
  5. Step 5: Solve for x
    x = 15,205,912.47/5,225.48
  6. Step 6: Final answer
    x = 2,909.96

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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.