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Finding the Fourth Proportional to 4,649.09, 6,972.42 and 2,183.45

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Solution

The fourth proportional to 4,649.09, 6,972.42 and 2,183.45 is: 3,274.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,649.09 : 6,972.42 = 2,183.45 : x
  2. Step 2: Convert to fraction form
    4,649.09/6,972.42 = 2,183.45/x
  3. Step 3: Cross multiply
    4,649.09x = 6,972.42 × 2,183.45
  4. Step 4: Simplify right side
    4,649.09x = 15,223,930.45
  5. Step 5: Solve for x
    x = 15,223,930.45/4,649.09
  6. Step 6: Final answer
    x = 3,274.60

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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.