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Finding the Fourth Proportional to 4,976.02, 7,456.47 and 2,375.38

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Solution

The fourth proportional to 4,976.02, 7,456.47 and 2,375.38 is: 3,559.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,976.02 : 7,456.47 = 2,375.38 : x
  2. Step 2: Convert to fraction form
    4,976.02/7,456.47 = 2,375.38/x
  3. Step 3: Cross multiply
    4,976.02x = 7,456.47 × 2,375.38
  4. Step 4: Simplify right side
    4,976.02x = 17,711,949.71
  5. Step 5: Solve for x
    x = 17,711,949.71/4,976.02
  6. Step 6: Final answer
    x = 3,559.46

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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.