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Finding the Fourth Proportional to 3,880.30, 5,824.11 and 2,582.68

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Solution

The fourth proportional to 3,880.30, 5,824.11 and 2,582.68 is: 3,876.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,880.30 : 5,824.11 = 2,582.68 : x
  2. Step 2: Convert to fraction form
    3,880.30/5,824.11 = 2,582.68/x
  3. Step 3: Cross multiply
    3,880.30x = 5,824.11 × 2,582.68
  4. Step 4: Simplify right side
    3,880.30x = 15,041,812.41
  5. Step 5: Solve for x
    x = 15,041,812.41/3,880.30
  6. Step 6: Final answer
    x = 3,876.46

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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.