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Finding the Fourth Proportional to 4,900.67, 7,350.02 and 2,400.78

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Solution

The fourth proportional to 4,900.67, 7,350.02 and 2,400.78 is: 3,600.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,900.67 : 7,350.02 = 2,400.78 : x
  2. Step 2: Convert to fraction form
    4,900.67/7,350.02 = 2,400.78/x
  3. Step 3: Cross multiply
    4,900.67x = 7,350.02 × 2,400.78
  4. Step 4: Simplify right side
    4,900.67x = 17,645,769.01
  5. Step 5: Solve for x
    x = 17,645,769.01/4,900.67
  6. Step 6: Final answer
    x = 3,600.69

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.