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Finding the Fourth Proportional to 4,600.65, 6,348.89 and 2,504.78

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Solution

The fourth proportional to 4,600.65, 6,348.89 and 2,504.78 is: 3,456.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,600.65 : 6,348.89 = 2,504.78 : x
  2. Step 2: Convert to fraction form
    4,600.65/6,348.89 = 2,504.78/x
  3. Step 3: Cross multiply
    4,600.65x = 6,348.89 × 2,504.78
  4. Step 4: Simplify right side
    4,600.65x = 15,902,528.43
  5. Step 5: Solve for x
    x = 15,902,528.43/4,600.65
  6. Step 6: Final answer
    x = 3,456.58

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.