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Finding the Fourth Proportional to 4,019.49, 6,021 and 2,454.57

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Solution

The fourth proportional to 4,019.49, 6,021 and 2,454.57 is: 3,676.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,019.49 : 6,021 = 2,454.57 : x
  2. Step 2: Convert to fraction form
    4,019.49/6,021 = 2,454.57/x
  3. Step 3: Cross multiply
    4,019.49x = 6,021 × 2,454.57
  4. Step 4: Simplify right side
    4,019.49x = 14,778,965.97
  5. Step 5: Solve for x
    x = 14,778,965.97/4,019.49
  6. Step 6: Final answer
    x = 3,676.83

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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.