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Finding the Fourth Proportional to 4,564.65, 6,295.99 and 3,861.16

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Solution

The fourth proportional to 4,564.65, 6,295.99 and 3,861.16 is: 5,325.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,564.65 : 6,295.99 = 3,861.16 : x
  2. Step 2: Convert to fraction form
    4,564.65/6,295.99 = 3,861.16/x
  3. Step 3: Cross multiply
    4,564.65x = 6,295.99 × 3,861.16
  4. Step 4: Simplify right side
    4,564.65x = 24,309,824.75
  5. Step 5: Solve for x
    x = 24,309,824.75/4,564.65
  6. Step 6: Final answer
    x = 5,325.67

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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.