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Finding the Fourth Proportional to 5,145.92, 7,101.24 and 3,050

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Solution

The fourth proportional to 5,145.92, 7,101.24 and 3,050 is: 4,208.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,145.92 : 7,101.24 = 3,050 : x
  2. Step 2: Convert to fraction form
    5,145.92/7,101.24 = 3,050/x
  3. Step 3: Cross multiply
    5,145.92x = 7,101.24 × 3,050
  4. Step 4: Simplify right side
    5,145.92x = 21,658,782
  5. Step 5: Solve for x
    x = 21,658,782/5,145.92
  6. Step 6: Final answer
    x = 4,208.92

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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.