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Finding the Fourth Proportional to 4,958.27, 7,438.27 and 2,290.01

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Solution

The fourth proportional to 4,958.27, 7,438.27 and 2,290.01 is: 3,435.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,958.27 : 7,438.27 = 2,290.01 : x
  2. Step 2: Convert to fraction form
    4,958.27/7,438.27 = 2,290.01/x
  3. Step 3: Cross multiply
    4,958.27x = 7,438.27 × 2,290.01
  4. Step 4: Simplify right side
    4,958.27x = 17,033,712.68
  5. Step 5: Solve for x
    x = 17,033,712.68/4,958.27
  6. Step 6: Final answer
    x = 3,435.41

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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.