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Finding the Fourth Proportional to 4,934.90, 7,406.40 and 4,772.90

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Solution

The fourth proportional to 4,934.90, 7,406.40 and 4,772.90 is: 7,163.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,934.90 : 7,406.40 = 4,772.90 : x
  2. Step 2: Convert to fraction form
    4,934.90/7,406.40 = 4,772.90/x
  3. Step 3: Cross multiply
    4,934.90x = 7,406.40 × 4,772.90
  4. Step 4: Simplify right side
    4,934.90x = 35,350,006.56
  5. Step 5: Solve for x
    x = 35,350,006.56/4,934.90
  6. Step 6: Final answer
    x = 7,163.27

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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.