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Finding the Fourth Proportional to 4,750.50, 7,126.73 and 1,976.35

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Solution

The fourth proportional to 4,750.50, 7,126.73 and 1,976.35 is: 2,964.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,750.50 : 7,126.73 = 1,976.35 : x
  2. Step 2: Convert to fraction form
    4,750.50/7,126.73 = 1,976.35/x
  3. Step 3: Cross multiply
    4,750.50x = 7,126.73 × 1,976.35
  4. Step 4: Simplify right side
    4,750.50x = 14,084,917.03
  5. Step 5: Solve for x
    x = 14,084,917.03/4,750.50
  6. Step 6: Final answer
    x = 2,964.93

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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.