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Finding the Fourth Proportional to 5,599.68, 8,399.76 and 3,289.44

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Solution

The fourth proportional to 5,599.68, 8,399.76 and 3,289.44 is: 4,934.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,599.68 : 8,399.76 = 3,289.44 : x
  2. Step 2: Convert to fraction form
    5,599.68/8,399.76 = 3,289.44/x
  3. Step 3: Cross multiply
    5,599.68x = 8,399.76 × 3,289.44
  4. Step 4: Simplify right side
    5,599.68x = 27,630,506.53
  5. Step 5: Solve for x
    x = 27,630,506.53/5,599.68
  6. Step 6: Final answer
    x = 4,934.30

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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.