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Finding the Fourth Proportional to 4,618.56, 6,930 and 2,672.40

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Solution

The fourth proportional to 4,618.56, 6,930 and 2,672.40 is: 4,009.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,618.56 : 6,930 = 2,672.40 : x
  2. Step 2: Convert to fraction form
    4,618.56/6,930 = 2,672.40/x
  3. Step 3: Cross multiply
    4,618.56x = 6,930 × 2,672.40
  4. Step 4: Simplify right side
    4,618.56x = 18,519,732
  5. Step 5: Solve for x
    x = 18,519,732/4,618.56
  6. Step 6: Final answer
    x = 4,009.85

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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.