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Finding the Fourth Proportional to 4,584, 6,876.90 and 1,662.42

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Solution

The fourth proportional to 4,584, 6,876.90 and 1,662.42 is: 2,493.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,584 : 6,876.90 = 1,662.42 : x
  2. Step 2: Convert to fraction form
    4,584/6,876.90 = 1,662.42/x
  3. Step 3: Cross multiply
    4,584x = 6,876.90 × 1,662.42
  4. Step 4: Simplify right side
    4,584x = 11,432,296.10
  5. Step 5: Solve for x
    x = 11,432,296.10/4,584
  6. Step 6: Final answer
    x = 2,493.96

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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.