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Finding the Fourth Proportional to 5,148, 7,105.14 and 3,052.26

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Solution

The fourth proportional to 5,148, 7,105.14 and 3,052.26 is: 4,212.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,148 : 7,105.14 = 3,052.26 : x
  2. Step 2: Convert to fraction form
    5,148/7,105.14 = 3,052.26/x
  3. Step 3: Cross multiply
    5,148x = 7,105.14 × 3,052.26
  4. Step 4: Simplify right side
    5,148x = 21,686,734.62
  5. Step 5: Solve for x
    x = 21,686,734.62/5,148
  6. Step 6: Final answer
    x = 4,212.65

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Why These Related Problems?

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