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Finding the Fourth Proportional to 4,869.60, 7,299.60 and 2,404.80

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Solution

The fourth proportional to 4,869.60, 7,299.60 and 2,404.80 is: 3,604.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,869.60 : 7,299.60 = 2,404.80 : x
  2. Step 2: Convert to fraction form
    4,869.60/7,299.60 = 2,404.80/x
  3. Step 3: Cross multiply
    4,869.60x = 7,299.60 × 2,404.80
  4. Step 4: Simplify right side
    4,869.60x = 17,554,078.08
  5. Step 5: Solve for x
    x = 17,554,078.08/4,869.60
  6. Step 6: Final answer
    x = 3,604.83

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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.