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Finding the Fourth Proportional to 5,148.16, 7,672.72 and 5,105.28

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Solution

The fourth proportional to 5,148.16, 7,672.72 and 5,105.28 is: 7,608.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,148.16 : 7,672.72 = 5,105.28 : x
  2. Step 2: Convert to fraction form
    5,148.16/7,672.72 = 5,105.28/x
  3. Step 3: Cross multiply
    5,148.16x = 7,672.72 × 5,105.28
  4. Step 4: Simplify right side
    5,148.16x = 39,171,383.96
  5. Step 5: Solve for x
    x = 39,171,383.96/5,148.16
  6. Step 6: Final answer
    x = 7,608.81

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.