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Finding the Fourth Proportional to 4,750.72, 7,128.72 and 1,976.88

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Solution

The fourth proportional to 4,750.72, 7,128.72 and 1,976.88 is: 2,966.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,750.72 : 7,128.72 = 1,976.88 : x
  2. Step 2: Convert to fraction form
    4,750.72/7,128.72 = 1,976.88/x
  3. Step 3: Cross multiply
    4,750.72x = 7,128.72 × 1,976.88
  4. Step 4: Simplify right side
    4,750.72x = 14,092,623.99
  5. Step 5: Solve for x
    x = 14,092,623.99/4,750.72
  6. Step 6: Final answer
    x = 2,966.42

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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.