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Finding the Fourth Proportional to 4,364.85, 6,539.58 and 3,815.67

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Solution

The fourth proportional to 4,364.85, 6,539.58 and 3,815.67 is: 5,716.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,364.85 : 6,539.58 = 3,815.67 : x
  2. Step 2: Convert to fraction form
    4,364.85/6,539.58 = 3,815.67/x
  3. Step 3: Cross multiply
    4,364.85x = 6,539.58 × 3,815.67
  4. Step 4: Simplify right side
    4,364.85x = 24,952,879.22
  5. Step 5: Solve for x
    x = 24,952,879.22/4,364.85
  6. Step 6: Final answer
    x = 5,716.78

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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.