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Finding the Fourth Proportional to 3,047.82, 4,579.43 and 2,924.80

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Solution

The fourth proportional to 3,047.82, 4,579.43 and 2,924.80 is: 4,394.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,047.82 : 4,579.43 = 2,924.80 : x
  2. Step 2: Convert to fraction form
    3,047.82/4,579.43 = 2,924.80/x
  3. Step 3: Cross multiply
    3,047.82x = 4,579.43 × 2,924.80
  4. Step 4: Simplify right side
    3,047.82x = 13,393,916.86
  5. Step 5: Solve for x
    x = 13,393,916.86/3,047.82
  6. Step 6: Final answer
    x = 4,394.59

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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.