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Finding the Fourth Proportional to 4,516.66, 6,777.68 and 2,051.46

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Solution

The fourth proportional to 4,516.66, 6,777.68 and 2,051.46 is: 3,078.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,516.66 : 6,777.68 = 2,051.46 : x
  2. Step 2: Convert to fraction form
    4,516.66/6,777.68 = 2,051.46/x
  3. Step 3: Cross multiply
    4,516.66x = 6,777.68 × 2,051.46
  4. Step 4: Simplify right side
    4,516.66x = 13,904,139.41
  5. Step 5: Solve for x
    x = 13,904,139.41/4,516.66
  6. Step 6: Final answer
    x = 3,078.41

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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.