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Finding the Fourth Proportional to 5,824.40, 8,730.44 and 4,180.04

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Solution

The fourth proportional to 5,824.40, 8,730.44 and 4,180.04 is: 6,265.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,824.40 : 8,730.44 = 4,180.04 : x
  2. Step 2: Convert to fraction form
    5,824.40/8,730.44 = 4,180.04/x
  3. Step 3: Cross multiply
    5,824.40x = 8,730.44 × 4,180.04
  4. Step 4: Simplify right side
    5,824.40x = 36,493,523.87
  5. Step 5: Solve for x
    x = 36,493,523.87/5,824.40
  6. Step 6: Final answer
    x = 6,265.63

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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.