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Finding the Fourth Proportional to 3,208.68, 4,423.71 and 2,880.63

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Solution

The fourth proportional to 3,208.68, 4,423.71 and 2,880.63 is: 3,971.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,208.68 : 4,423.71 = 2,880.63 : x
  2. Step 2: Convert to fraction form
    3,208.68/4,423.71 = 2,880.63/x
  3. Step 3: Cross multiply
    3,208.68x = 4,423.71 × 2,880.63
  4. Step 4: Simplify right side
    3,208.68x = 12,743,082.54
  5. Step 5: Solve for x
    x = 12,743,082.54/3,208.68
  6. Step 6: Final answer
    x = 3,971.44

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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.