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Finding the Fourth Proportional to 5,148.89, 7,723.34 and 1,253.26

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Solution

The fourth proportional to 5,148.89, 7,723.34 and 1,253.26 is: 1,879.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,148.89 : 7,723.34 = 1,253.26 : x
  2. Step 2: Convert to fraction form
    5,148.89/7,723.34 = 1,253.26/x
  3. Step 3: Cross multiply
    5,148.89x = 7,723.34 × 1,253.26
  4. Step 4: Simplify right side
    5,148.89x = 9,679,353.09
  5. Step 5: Solve for x
    x = 9,679,353.09/5,148.89
  6. Step 6: Final answer
    x = 1,879.89

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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.