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Finding the Fourth Proportional to 5,148, 7,101.86 and 3,022.85

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Solution

The fourth proportional to 5,148, 7,101.86 and 3,022.85 is: 4,170.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,148 : 7,101.86 = 3,022.85 : x
  2. Step 2: Convert to fraction form
    5,148/7,101.86 = 3,022.85/x
  3. Step 3: Cross multiply
    5,148x = 7,101.86 × 3,022.85
  4. Step 4: Simplify right side
    5,148x = 21,467,860.14
  5. Step 5: Solve for x
    x = 21,467,860.14/5,148
  6. Step 6: Final answer
    x = 4,170.14

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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.