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Finding the Fourth Proportional to 4,954.50, 7,430.03 and 1,443.56

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Solution

The fourth proportional to 4,954.50, 7,430.03 and 1,443.56 is: 2,164.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,954.50 : 7,430.03 = 1,443.56 : x
  2. Step 2: Convert to fraction form
    4,954.50/7,430.03 = 1,443.56/x
  3. Step 3: Cross multiply
    4,954.50x = 7,430.03 × 1,443.56
  4. Step 4: Simplify right side
    4,954.50x = 10,725,694.11
  5. Step 5: Solve for x
    x = 10,725,694.11/4,954.50
  6. Step 6: Final answer
    x = 2,164.84

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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.