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Finding the Fourth Proportional to 4,682.98, 7,014.12 and 3,034.54

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Solution

The fourth proportional to 4,682.98, 7,014.12 and 3,034.54 is: 4,545.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,682.98 : 7,014.12 = 3,034.54 : x
  2. Step 2: Convert to fraction form
    4,682.98/7,014.12 = 3,034.54/x
  3. Step 3: Cross multiply
    4,682.98x = 7,014.12 × 3,034.54
  4. Step 4: Simplify right side
    4,682.98x = 21,284,627.70
  5. Step 5: Solve for x
    x = 21,284,627.70/4,682.98
  6. Step 6: Final answer
    x = 4,545.10

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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.