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Finding the Fourth Proportional to 4,516.38, 6,777 and 2,051.02

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Solution

The fourth proportional to 4,516.38, 6,777 and 2,051.02 is: 3,077.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,516.38 : 6,777 = 2,051.02 : x
  2. Step 2: Convert to fraction form
    4,516.38/6,777 = 2,051.02/x
  3. Step 3: Cross multiply
    4,516.38x = 6,777 × 2,051.02
  4. Step 4: Simplify right side
    4,516.38x = 13,899,762.54
  5. Step 5: Solve for x
    x = 13,899,762.54/4,516.38
  6. Step 6: Final answer
    x = 3,077.63

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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.