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Finding the Fourth Proportional to 4,974.23, 7,472.19 and 4,808.15

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Solution

The fourth proportional to 4,974.23, 7,472.19 and 4,808.15 is: 7,222.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,974.23 : 7,472.19 = 4,808.15 : x
  2. Step 2: Convert to fraction form
    4,974.23/7,472.19 = 4,808.15/x
  3. Step 3: Cross multiply
    4,974.23x = 7,472.19 × 4,808.15
  4. Step 4: Simplify right side
    4,974.23x = 35,927,452.44
  5. Step 5: Solve for x
    x = 35,927,452.44/4,974.23
  6. Step 6: Final answer
    x = 7,222.72

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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.