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Finding the Fourth Proportional to 5,149.92, 7,106.64 and 3,054

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Solution

The fourth proportional to 5,149.92, 7,106.64 and 3,054 is: 4,214.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,149.92 : 7,106.64 = 3,054 : x
  2. Step 2: Convert to fraction form
    5,149.92/7,106.64 = 3,054/x
  3. Step 3: Cross multiply
    5,149.92x = 7,106.64 × 3,054
  4. Step 4: Simplify right side
    5,149.92x = 21,703,678.56
  5. Step 5: Solve for x
    x = 21,703,678.56/5,149.92
  6. Step 6: Final answer
    x = 4,214.37

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.