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Finding the Fourth Proportional to 5,396.86, 7,446.63 and 3,299.50

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Solution

The fourth proportional to 5,396.86, 7,446.63 and 3,299.50 is: 4,552.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,396.86 : 7,446.63 = 3,299.50 : x
  2. Step 2: Convert to fraction form
    5,396.86/7,446.63 = 3,299.50/x
  3. Step 3: Cross multiply
    5,396.86x = 7,446.63 × 3,299.50
  4. Step 4: Simplify right side
    5,396.86x = 24,570,155.69
  5. Step 5: Solve for x
    x = 24,570,155.69/5,396.86
  6. Step 6: Final answer
    x = 4,552.68

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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.