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Finding the Fourth Proportional to 5,416.50, 8,082.84 and 4,833.30

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Solution

The fourth proportional to 5,416.50, 8,082.84 and 4,833.30 is: 7,212.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,416.50 : 8,082.84 = 4,833.30 : x
  2. Step 2: Convert to fraction form
    5,416.50/8,082.84 = 4,833.30/x
  3. Step 3: Cross multiply
    5,416.50x = 8,082.84 × 4,833.30
  4. Step 4: Simplify right side
    5,416.50x = 39,066,790.57
  5. Step 5: Solve for x
    x = 39,066,790.57/5,416.50
  6. Step 6: Final answer
    x = 7,212.55

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.