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Finding the Fourth Proportional to 4,930.68, 7,395.82 and 2,738.01

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Solution

The fourth proportional to 4,930.68, 7,395.82 and 2,738.01 is: 4,106.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,930.68 : 7,395.82 = 2,738.01 : x
  2. Step 2: Convert to fraction form
    4,930.68/7,395.82 = 2,738.01/x
  3. Step 3: Cross multiply
    4,930.68x = 7,395.82 × 2,738.01
  4. Step 4: Simplify right side
    4,930.68x = 20,249,822.27
  5. Step 5: Solve for x
    x = 20,249,822.27/4,930.68
  6. Step 6: Final answer
    x = 4,106.90

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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.