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Finding the Fourth Proportional to 4,516.29, 6,770.02 and 1,884.55

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Solution

The fourth proportional to 4,516.29, 6,770.02 and 1,884.55 is: 2,824.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,516.29 : 6,770.02 = 1,884.55 : x
  2. Step 2: Convert to fraction form
    4,516.29/6,770.02 = 1,884.55/x
  3. Step 3: Cross multiply
    4,516.29x = 6,770.02 × 1,884.55
  4. Step 4: Simplify right side
    4,516.29x = 12,758,428.98
  5. Step 5: Solve for x
    x = 12,758,428.98/4,516.29
  6. Step 6: Final answer
    x = 2,824.98

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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.