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Finding the Fourth Proportional to 4,516.88, 6,775.11 and 1,883.30

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Solution

The fourth proportional to 4,516.88, 6,775.11 and 1,883.30 is: 2,824.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,516.88 : 6,775.11 = 1,883.30 : x
  2. Step 2: Convert to fraction form
    4,516.88/6,775.11 = 1,883.30/x
  3. Step 3: Cross multiply
    4,516.88x = 6,775.11 × 1,883.30
  4. Step 4: Simplify right side
    4,516.88x = 12,759,530.79
  5. Step 5: Solve for x
    x = 12,759,530.79/4,516.88
  6. Step 6: Final answer
    x = 2,824.86

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.