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Finding the Fourth Proportional to 4,951.28, 7,427.28 and 2,029.76

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Solution

The fourth proportional to 4,951.28, 7,427.28 and 2,029.76 is: 3,044.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,951.28 : 7,427.28 = 2,029.76 : x
  2. Step 2: Convert to fraction form
    4,951.28/7,427.28 = 2,029.76/x
  3. Step 3: Cross multiply
    4,951.28x = 7,427.28 × 2,029.76
  4. Step 4: Simplify right side
    4,951.28x = 15,075,595.85
  5. Step 5: Solve for x
    x = 15,075,595.85/4,951.28
  6. Step 6: Final answer
    x = 3,044.79

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.