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Finding the Fourth Proportional to 4,028, 5,556.74 and 2,849.72

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Solution

The fourth proportional to 4,028, 5,556.74 and 2,849.72 is: 3,931.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,028 : 5,556.74 = 2,849.72 : x
  2. Step 2: Convert to fraction form
    4,028/5,556.74 = 2,849.72/x
  3. Step 3: Cross multiply
    4,028x = 5,556.74 × 2,849.72
  4. Step 4: Simplify right side
    4,028x = 15,835,153.11
  5. Step 5: Solve for x
    x = 15,835,153.11/4,028
  6. Step 6: Final answer
    x = 3,931.27

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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.