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Finding the Fourth Proportional to 5,127.67, 7,684.08 and 2,785.69

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Solution

The fourth proportional to 5,127.67, 7,684.08 and 2,785.69 is: 4,174.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,127.67 : 7,684.08 = 2,785.69 : x
  2. Step 2: Convert to fraction form
    5,127.67/7,684.08 = 2,785.69/x
  3. Step 3: Cross multiply
    5,127.67x = 7,684.08 × 2,785.69
  4. Step 4: Simplify right side
    5,127.67x = 21,405,464.82
  5. Step 5: Solve for x
    x = 21,405,464.82/5,127.67
  6. Step 6: Final answer
    x = 4,174.50

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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.